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  • 24-10-2019
  • Mathematics
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5x-y=-1 + -5x+3y=25 for two variable elimination quiz

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 27-10-2019

Answer:

[tex](\frac{11}{5},12)[/tex]

Step-by-step explanation:

The system is

5x-y=-1

-5x+3y=25

We the two equations to get:

[tex]5x+-5x+-y+3y=25+-1[/tex]

We simplify t get

[tex]2y=24[/tex]

We divide both sides by 2 to get:

[tex]y=12[/tex]

We now substitute y=12 in to the top equation to get:

[tex]5x-12=-1[/tex]

[tex]5x=11[/tex]

[tex]x=\frac{11}{5}[/tex]

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