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Likningssystem (grafisk løsning)

Et likningssystem er rett og slett en samling likninger. Frem til nå har du jobbet med én likning med én ukjent (en variabel). Nå skal du lære to likninger med to ukjente (to variabler). Du skal lære tre metoder for å løse likningssystemer: Grafisk løsning, innsettingsmetoden og addisjonsmetoden. Vi begynner med grafisk løsning.

Grafisk løsning

Regel

Grafisk løsning

1.: Løs begge likningene for $y$ . Det vil si at du skal ha $y$ alene på venstre side i begge uttrykkene. Det ser slik ut: $y = a x + b$ .
2.: Uttrykkene dine er nå lineære funksjoner. Tegn dem i samme koordinatsystem.
3.: Les av skjæringspunktet, et tall fra $x$ -aksen og et tall fra $y$ -aksen.

Eksempel 1

Løs likningssettet

\begin{align} y - 2 x = 2 (1) 4 y + 4 x & = 20 & (2)Først løser du (1) med hensyn på y : y = 2 x + 2 . Deretter løser du (2) med hensyn på y : \begin{array}{l} 4 y + 4 x & = 20 \\ 4 y & = - 4 x + 20 | : 4 \\ y & = - x + 5 \end{array} Du kan nå plotte linjene y = 2 x + 2 og y = - x + 5 : Les av skjæringspunktet x = 1 og y = 4 . SVAR: (x, y) = (1, 4)Vil du vite mer? Registrer deg Det er gratis!FerdigFortsett18Likningssystem (innsettingsmetoden)19Likningssystem (addisjonsmetoden)20Likninger Aktiviteter 921Likninger FasitHjem Pensum Stats LigaAI Spør OrakeletAI Hva kan jeg hjelpe deg med? BetaOm oss Om House of Math Om ansatte Karriere Media Foredrag Blogg Kontakt support@houseofmath.com Booking av privatundervisning +47 22 150 300 Adresse Bygdøy allé 23
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            Norge FAQ Lenker ViTarAnsvar Mattemagi for Ukraina Privatundervisning Bootcamps Juniormatte Penn og papir-oppgaver Oppslagsverk Bestill privatundervisning Språk/pensum Vilkår Personvern Last ned appen vår{"props":{"pageProps":{"campaign":false,"pageData":{"activities":[],"chest":{},"content":[],"encyclopediaArticle":{"breadcrumbs":[{"_key":"09bac112-9008-5368-8dda-35028d5916a1","h1":"Penn og papirøvelser","path":"/drill"},{"_key":"f7524442-d87e-5fdd-b857-426eab05abcd","h1":"Likninger","path":"/drill/likninger"},{"_key":"c2a42a8c-528f-5788-aee3-7900238c14ed","h1":"Likningssystem (grafisk løsning)","path":"/drill/likninger/likningssystem-grafisk-losning"}],"cssUrl":"/0e751716-e4cf-4658-ac87-c97d9167170e-no-2.css","h1":"Likningssystem (grafisk løsning)","htmlContent":{"html":" \u003c/p\u003e\u003cp class=\"indent\" \u003e     Et likningssystem er rett og slett en samling likninger. Frem til nå har du jobbet med én                                                                                                                                                                                                                                          likning med én ukjent (en variabel). Nå skal du lære to likninger med to ukjente (to variabler). Du skal lære tre metoder for å løse likningssystemer: Grafisk løsning, innsettingsmetoden og addisjonsmetoden. Vi begynner med grafisk løsning. \u003c/p\u003e\u003cp class=\"noindent\" \u003e \u003c/p\u003e \u003cp class=\"indent\" \u003e     \u003ch2 class=\"section-title\"\u003e \u003ca   id=\"x1-376000\"\u003e\u003c/a\u003eGrafisk løsning\u003c/h2\u003e \u003c/p\u003e      \u003cdiv class=\"tcolorbox foorule\" id=\"tcolobox-175\"\u003e      \u003cdiv class=\"tcolorbox-title\"\u003e                                                                                                                                                                                                                                          \u003cp class=\"indent\" \u003e     Regel\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003e\u003ch3 class=\"rule-container-title\"\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eGrafisk\u003c/span\u003e \u003cspan  class=\"ec-lmbx-12x-x-172\"\u003eløsning\u003c/span\u003e \u003c/h3\u003e      \u003c/p\u003e\u003cdl class=\"enumerate-enumitem\"\u003e\u003cdt class=\"enumerate-enumitem\"\u003e    1.  \u003c/dt\u003e\u003cdd  class=\"enumerate-enumitem\"\u003e         Løs         begge         likningene         for         \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/math\u003e.         Det         vil         si         at         du         skal         ha         \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/math\u003e       alene         på         venstre         side         i         begge         uttrykkene.         Det         ser         slik         ut:         \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmi  \u003ey\u003c/mi\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmi  \u003ea\u003c/mi\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e+\u003c/mo\u003e \u003cmi  \u003eb\u003c/mi\u003e\u003c/math type=\"punct\"\u003e.         \u003c/dd\u003e\u003cdt class=\"enumerate-enumitem\"\u003e     2.  \u003c/dt\u003e\u003cdd  class=\"enumerate-enumitem\"\u003e         Uttrykkene         dine         er         nå         lineære         funksjoner.         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class=\"tcolorbox fooqaexample\" id=\"tcolobox-176\"\u003e      \u003cdiv class=\"tcolorbox-title\"\u003e \u003cp class=\"indent\" \u003e     Eksempel 1\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\"tcolorbox-content\"\u003e\u003cp class=\"noindent\" \u003e\u003cb\u003e\u003cspan  class=\"ec-lmbx-12x-x-144\"\u003eLøs likningssettet\u003c/span\u003e \u003c/p\u003e\u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"block\" mathvariant=\"bold-italic\"\u003e\u003cmtable  displaystyle=\"true\" columnalign=\"left\" class=\"align\"\u003e                                     \u003cmtr\u003e\u003cmtd  columnalign=\"right\" class=\"align-odd\"\u003e\u003cmstyle mathvariant=\"bold-italic\"\u003e\u003cmstyle mathvariant=\"bold\"\u003e\u003cmi  \u003ey\u003c/mi\u003e \u003cmo  class=\"MathClass-bin\" stretchy=\"false\"\u003e−\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mstyle\u003e\u003c/mstyle\u003e\u003c/mtd\u003e  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class=\"noindent\" \u003e\u003c/b\u003e                                                                                                               \u003cdiv class=\"lowerbox\"\u003e                                                                                                                                                                                                                                           \u003cp class=\"noindent\" \u003eFørst løser du (\u003ca  href=\"#\"\u003e1\u003c/a\u003e) med hensyn på \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/math type=\"divide\"\u003e: \u003c/p\u003e\u003ctable class=\"equation-star\"\u003e\u003ctr\u003e\u003ctd\u003e \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"block\" class=\"equation\"\u003e                                                \u003cmi  \u003ey\u003c/mi\u003e \u003cmo  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grafisk som skjærer hverandre i skjæringspunktet (1,4)\" width=\"428\" height=\"428\"\u003e\u003c/p\u003e\u003c/div\u003e \u003cp class=\"noindent\" \u003eLes av skjæringspunktet \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003c/math\u003e og \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmi  \u003ey\u003c/mi\u003e \u003cmo  class=\"MathClass-rel\" stretchy=\"false\"\u003e=\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/math type=\"punct\"\u003e. \u003c/p\u003e\u003cp class=\"noindent\" \u003eSVAR: \u003cmath mathvariant=\"normal\"   xmlns=\"http://www.w3.org/1998/Math/MathML\"   display=\"inline\" \u003e\u003cmo  class=\"MathClass-open\" stretchy=\"false\"\u003e(\u003c/mo\u003e\u003cmi  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Frem til nå har du jobbet med én                                                                                                                                                                                                                                          likning med én ukjent (en variabel). Nå skal du lære to likninger med to ukjente (to variabler). Du skal lære tre metoder for å løse likningssystemer: Grafisk løsning, innsettingsmetoden og addisjonsmetoden. Vi begynner med grafisk løsning. \u003c/p\u003e\u003cp class=\\\"noindent\\\" \u003e \u003c/p\u003e \u003cp class=\\\"indent\\\" \u003e     \u003ch2 class=\\\"section-title\\\"\u003e \u003ca   id=\\\"x1-376000\\\"\u003e\u003c/a\u003eGrafisk løsning\u003c/h2\u003e \u003c/p\u003e      \u003cdiv class=\\\"tcolorbox foorule\\\" id=\\\"tcolobox-175\\\"\u003e      \u003cdiv class=\\\"tcolorbox-title\\\"\u003e                                                                                                                                                                                                                                          \u003cp class=\\\"indent\\\" \u003e     Regel\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\\\"tcolorbox-content\\\"\u003e\u003cp class=\\\"noindent\\\" \u003e\u003ch3 class=\\\"rule-container-title\\\"\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003eGrafisk\u003c/span\u003e \u003cspan  class=\\\"ec-lmbx-12x-x-172\\\"\u003eløsning\u003c/span\u003e \u003c/h3\u003e      \u003c/p\u003e\u003cdl class=\\\"enumerate-enumitem\\\"\u003e\u003cdt class=\\\"enumerate-enumitem\\\"\u003e    1.  \u003c/dt\u003e\u003cdd  class=\\\"enumerate-enumitem\\\"\u003e         Løs         begge         likningene         for         \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/math\u003e.         Det         vil         si         at         du         skal         ha         \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/math\u003e       alene         på         venstre         side         i         begge         uttrykkene.         Det         ser         slik         ut:         \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmi  \u003ey\u003c/mi\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmi  \u003ea\u003c/mi\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmi  \u003eb\u003c/mi\u003e\u003c/math type=\\\"punct\\\"\u003e.         \u003c/dd\u003e\u003cdt class=\\\"enumerate-enumitem\\\"\u003e     2.  \u003c/dt\u003e\u003cdd  class=\\\"enumerate-enumitem\\\"\u003e         Uttrykkene         dine         er         nå         lineære         funksjoner.         Tegn         dem         i         samme         koordinatsystem.         \u003c/dd\u003e\u003cdt class=\\\"enumerate-enumitem\\\"\u003e     3.  \u003c/dt\u003e\u003cdd  class=\\\"enumerate-enumitem\\\"\u003e         Les         av         skjæringspunktet,         et         tall         fra         \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/math\u003e-aksen         og         et         tall         fra         \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/math\u003e-aksen.         \u003c/dd\u003e\u003c/dl\u003e   \u003c/div\u003e  \u003c/div\u003e                                                                                                                                                                                                                                  \u003cdiv class=\\\"tcolorbox fooqaexample\\\" id=\\\"tcolobox-176\\\"\u003e      \u003cdiv class=\\\"tcolorbox-title\\\"\u003e \u003cp class=\\\"indent\\\" \u003e     Eksempel 1\u003c/p\u003e\u003c/div\u003e  \u003cdiv class=\\\"tcolorbox-content\\\"\u003e\u003cp class=\\\"noindent\\\" \u003e\u003cb\u003e\u003cspan  class=\\\"ec-lmbx-12x-x-144\\\"\u003eLøs likningssettet\u003c/span\u003e \u003c/p\u003e\u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"block\\\" mathvariant=\\\"bold-italic\\\"\u003e\u003cmtable  displaystyle=\\\"true\\\" columnalign=\\\"left\\\" class=\\\"align\\\"\u003e                                     \u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmstyle mathvariant=\\\"bold-italic\\\"\u003e\u003cmstyle mathvariant=\\\"bold\\\"\u003e\u003cmi  \u003ey\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mstyle\u003e\u003c/mstyle\u003e\u003c/mtd\u003e                               \u003cmtd  class=\\\"align-even\\\"\u003e\u003cmstyle mathvariant=\\\"bold-italic\\\"\u003e\u003cmstyle mathvariant=\\\"bold\\\"\u003e\u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003c/mstyle\u003e\u003c/mstyle\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                                                         \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003cmstyle     id=\\\"x1-376006r1\\\"  class=\\\"label\\\" \u003e\u003c/mstyle\u003e\u003cmstyle  class=\\\"maketag\\\"\u003e\u003cmtext  \u003e(1)\u003c/mtext\u003e\u003c/mstyle\u003e\u003cmspace width=\\\"0.33em\\\" class=\\\"nbsp\\\" /\u003e                                              \u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmstyle mathvariant=\\\"bold-italic\\\"\u003e\u003cmstyle mathvariant=\\\"bold\\\"\u003e\u003cmn\u003e4\u003c/mn\u003e\u003cmi  \u003ey\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mstyle\u003e\u003c/mstyle\u003e\u003c/mtd\u003e                              \u003cmtd  class=\\\"align-even\\\"\u003e\u003cmstyle mathvariant=\\\"bold-italic\\\"\u003e\u003cmstyle mathvariant=\\\"bold\\\"\u003e\u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmn\u003e0\u003c/mn\u003e\u003c/mstyle\u003e\u003c/mstyle\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                                                        \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003cmstyle     id=\\\"x1-376007r2\\\"  class=\\\"label\\\" \u003e\u003c/mstyle\u003e\u003cmstyle  class=\\\"maketag\\\"\u003e\u003cmtext  \u003e(2)\u003c/mtext\u003e\u003c/mstyle\u003e\u003cmspace width=\\\"0.33em\\\" class=\\\"nbsp\\\" /\u003e \u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e \u003cp class=\\\"noindent\\\" \u003e\u003c/b\u003e                                                                                                               \u003cdiv class=\\\"lowerbox\\\"\u003e                                                                                                                                                                                                                                           \u003cp class=\\\"noindent\\\" \u003eFørst løser du (\u003ca  href=\\\"#\\\"\u003e1\u003c/a\u003e) med hensyn på \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/math type=\\\"divide\\\"\u003e: \u003c/p\u003e\u003ctable class=\\\"equation-star\\\"\u003e\u003ctr\u003e\u003ctd\u003e \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"block\\\" class=\\\"equation\\\"\u003e                                                \u003cmi  \u003ey\u003c/mi\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmo  class=\\\"MathClass-punc\\\" stretchy=\\\"false\\\" type=\\\"punct\\\"\u003e.\u003c/mo\u003e \u003c/math\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e \u003cp class=\\\"noindent\\\" \u003eDeretter løser du (\u003ca  href=\\\"#\\\"\u003e2\u003c/a\u003e) med hensyn på \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/math type=\\\"divide\\\"\u003e: \u003c/p\u003e\u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"block\\\" \u003e\u003cmtable  displaystyle=\\\"true\\\" columnalign=\\\"left\\\" class=\\\"align-star\\\"\u003e                                      \u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmn\u003e4\u003c/mn\u003e\u003cmi  \u003ey\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003c/mtd\u003e                                     \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmn\u003e0\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                                   \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                     \u003cmtd  class=\\\"align-label\\\"\u003e                                      \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmn\u003e4\u003c/mn\u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/mtd\u003e                                            \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e\u003cmn\u003e4\u003c/mn\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmn\u003e0\u003c/mn\u003e\u003cmspace width=\\\"1em\\\" class=\\\"quad\\\"/\u003e\u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e|\u003c/mo\u003e \u003cmo  class=\\\"MathClass-punc\\\" stretchy=\\\"false\\\" type=\\\"divide\\\"\u003e:\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                     \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                     \u003cmtd  class=\\\"align-label\\\"\u003e                                      \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003cmtr\u003e\u003cmtd  columnalign=\\\"right\\\" class=\\\"align-odd\\\"\u003e\u003cmi  \u003ey\u003c/mi\u003e\u003c/mtd\u003e                                             \u003cmtd  class=\\\"align-even\\\"\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e5\u003c/mn\u003e\u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e                                             \u003cmtd  columnalign=\\\"right\\\" class=\\\"align-label\\\"\u003e\u003c/mtd\u003e                                     \u003cmtd  class=\\\"align-label\\\"\u003e \u003cmspace width=\\\"2em\\\"/\u003e\u003c/mtd\u003e\u003c/mtr\u003e\u003c/mtable\u003e\u003c/math\u003e \u003cp class=\\\"noindent\\\" \u003eDu kan nå plotte linjene \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmi  \u003ey\u003c/mi\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e2\u003c/mn\u003e\u003c/math\u003e og \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmi  \u003ey\u003c/mi\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e−\u003c/mo\u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-bin\\\" stretchy=\\\"false\\\"\u003e+\u003c/mo\u003e \u003cmn\u003e5\u003c/mn\u003e\u003c/math type=\\\"divide\\\"\u003e: \u003c/p\u003e \u003cdiv class=\\\"center\\\"  \u003e \u003cp class=\\\"noindent\\\" \u003e \u003c/p\u003e\u003cp class=\\\"noindent\\\" \u003e\u003cimg src=\\\"https://images.houseofmath.com/overleaf-assets/images/2likn2ukjente.svg\\\" alt=\\\"To likninger presentert grafisk som skjærer hverandre i skjæringspunktet (1,4)\\\" width=\\\"428\\\" height=\\\"428\\\"\u003e\u003c/p\u003e\u003c/div\u003e \u003cp class=\\\"noindent\\\" \u003eLes av skjæringspunktet \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmi  \u003ex\u003c/mi\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e1\u003c/mn\u003e\u003c/math\u003e og \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmi  \u003ey\u003c/mi\u003e \u003cmo  class=\\\"MathClass-rel\\\" stretchy=\\\"false\\\"\u003e=\u003c/mo\u003e \u003cmn\u003e4\u003c/mn\u003e\u003c/math type=\\\"punct\\\"\u003e. \u003c/p\u003e\u003cp class=\\\"noindent\\\" \u003eSVAR: \u003cmath mathvariant=\\\"normal\\\"   xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"   display=\\\"inline\\\" \u003e\u003cmo  class=\\\"MathClass-open\\\" stretchy=\\\"false\\\"\u003e(\u003c/mo\u003e\u003cmi  \u003ex\u003c/mi\u003e\u003cmo  class=\\\"MathClass-punc\\\" stretchy=\\\"false\\\"\u003e,\u003c/mo\u003e\u003cmi  \u003ey\u003c/mi\u003e\u003cmo  class=\\\"MathClass-close\\\" 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