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### Emne: (Algebra (Bibliotek) > Emne 5

Modul 1: Oversigt over ligningssystemer- Ligningssystemer: trolde, told (1 af 2)
- Ligningssystemer: trolde, told (2 af 2)
- Ligningssystemer med lige store koefficienters metode: Kongens cupcakes
- Ligningssystemer med lige store koefficienters metode: kartoffelchips
- Ligningssystemer med substitutionsmetoden: kartoffelchips
- Ligningssystemers antal løsninger: frugtstykker (1 af 2)
- Ligningssystemers antal løsninger: frugtstykker (2 af 2)

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# Ligningssystemer med substitutionsmetoden: kartoffelchips

For at løse et ligningssystem ved hjælp af substitutionsmetoden...

1. Isoler en af variablene i en af ligningerne, fx omskriv 2x + y = 3 til y = 3 - 2x.

2. Du kan nu udtrykke den isolerede variabel ved hjælp af den anden. *Erstat* det udtryk i den anden ligning, f.eks. omskriv x + 2y = 5 til x + 2(3 - 2x) = 5.

3. Nu har du en ligning med én variabel! Løs den, og brug svaret til at finde den anden variabel.

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