Question

Solve the system by elimination
3x-2y=2
5x-5y=10

Answer 1

(-2,-4)

Explanation:

3x-2y=2

5x-5y=10

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Multiply 3x-2y=2 by -5 to turn it into -15x+10y=-10

Mutiplu 5x-5y=10 by 2 to turn it into 10x-10y=20

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Eliminate y

-15x+10y=-10

10x-10y=20

= -5x=10

Divide by -5

x=-2

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Plug -2 to the first equation

3(-2)-2y=2

-6-2y=2

Move -6 to the other side by adding 6 to both sides

-2y=8

Divide by -2

y=-4

(x,y) = (-2,-4)

Answer 2

(-2,-4)

x=-2, y= -4

Have a good day