solve the following system by substitution : 2x-3y=-2 and 4x+y=24

Question

I need help with this question. 

Answer 1

2x-3y=-2

4x+y=24

 

Since the problem states to solve by substitution, solve for y in the

second equation and substitute into the first.

 

y = 24 - 4x

 

2x - 3(24-4x) = -2

2x - 72 + 12x = -2

14x - 72 = -2

14x = 70

x = 70/14

x = 5

 

From there replace x with 5 in either of the original equations

and solve for y