Question

Solve the following system. Q
-8x - 8y = 0 and -8x + 2y = -20

Answer 1

x=2 and y=−2

Explanation:

I will solve your system by substitution.

−8x−8y=0;−8x+2y=−20

Step: Solve−8x−8y=0for x:

−8x−8y+8y=0+8y(Add 8y to both sides)

−8x=8y

−8x

−8

=

8y

−8

(Divide both sides by -8)

x=−y

Step: Substitute−yforxin−8x+2y=−20:

−8x+2y=−20

−8(−y)+2y=−20

10y=−20(Simplify both sides of the equation)

10y

10

=

−20

10

(Divide both sides by 10)

y=−2

Step: Substitute−2foryinx=−y:

x=−y

x=−(−2)

x=2(Simplify both sides of the equation)