Question

Solve the system by substitution.x+5y=-8 -6x+8y=10

Answer 1

y=-1, x=-3

Explanation:

First isolate x:

x+5y-5y=-8-5y

x=-8-5y

Then substitute (-8-5y) for x:

-6(-8-5y)+8y=10

Distribute and solve for y:

48+30y+8y=10

38y-48=10-48

38y=-38

y=-1

Use y to solve for x:

x+5(-1)=-8

x-5=-8

x-5+5=-8+5

x=-3