Solve the following systems of equations algebraically. State the coordinates of the solution.

Question

-2x+y=-2

-10x+10y=30

Answer 1

-10x+10y = 30, divide both sides by 5 to get

-2x + 2y = 6, subtract the 1st equation to eliminate one variable

-2x + y = -2

y = 8

plug that value into the 1st equation to solve for x

-2x +8 = -2

-2x = -2-8 = -10

divide by -2

x =-10/-2= 5

(x,y) = (5,8)

x=5, y=8