Question

Elimination method
x-5=-y
3x-10=2y​

Answer 1

X-5= -y
-X+5=y
-4+5=y
1=y

3X-10=2(-2+5)
3X-10= -2X+10
3X+2X=10+10
5x=20
X=4

Answer 2

(4,1)

Explanation:

Multiply the first equation by -3

(x-5=-y)*-3 = -3x+15=3y

Then combine like terms with the new equation and the second equation

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

Divide 5 by both sides

1=y

Plug in 1 for y in an equation. Doesn’t matter which one and solve

x-5=-(1)

Distribute the negative sign to the 1

x-5=-1

Add 5 to both sides

x=4