Question

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

Answer 1

Answer:

x=−2 and y=−4

Answer 2

Answer:

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