Solve 3x-2y=2; - 5x+5y=-10 by elimination

x=-2 and y=-4

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

Step-by-step explanation:

-5x+5y=-10

3x-2y=2

Choose one variable to eliminate (We'll choose y)

(-5x+5y=-10) 2 - > - 10x+10y=-20

(3x-2y=2) 5 - > 15x-10y=10

The - 10 y cancels the 10y, and we combine the terms

5x = - 10

Divide both sides by 5

x = - 2

Back to - 5x+5y=-10

Substitute the x with - 2

-5 (-2) + 5y = - 10

10 + 5y = - 10

Move the constant to the other side

10 + 5y = - 10

-10 - 10

5y = - 20

Divide both sides by 5

y = - 4