Question

Solve for x and y. -4x + 8y = -4 4x = 3y + 14

Answer 1

-4x+8y=-4    and  4x=3y+14

−4x−4=−8y−4−4x=2y+1                   
  and   
4x4=3y+144x=34y+72   

Answer 2

Hello!! Lets do this step by step! :) 
−4x+8y=−4;4x=3y+14
To first get x:
−4x+8y+−8y=−4+−8y  we are ganna add -8y to both sides
−4x=−8y−4−4x−4=−8y−4−4  we are ganna divide both sides by -4
x=2y+1
 next just substitute 2y+1 for x in 4x=3y+14:4x=3y+144(2y+1)=3y+148y+4=3y+148y+4+−3y=3y+14+−3y 
we are ganna add -3y to both sides 5y+4=145y+4+−4=14+−4
we are ganna add -4 to both sides 5y=105y5=105
now we are ganna divide both sides by 5 y=2substitute 2 for y in x=2y+1:x=2y+1x=(2)(2)+1x=5

And we get our answer!
x=5
y=2

Hope that helps! If you have any other questions or need further explanation just let me know! :)