how solve this problem step by step

Question

x=y-7

x+8y=2

Answer 1

This system is set up for substitution. Therefore substitute x=y-7 into the equation.

 

(y-7)+8y=2

 

Solve for y

 

9y-7=2

9y=9

y=1

 

Substitute y=1 into both equations.

x=1-7

x=-6

 

x+8(1)=2

x=2-8

x=-6

 

So the solution is (-6, 1).