X + y = 8

y = x - 12

(Solve the inequality algebraically)

Okay ... but it is not an inequality, it is just a system of equations

y = x - 12 ... so sub in x - 12 for y in the other equation

x + y = 8

x + x - 12 = 8

2x - 12 = 8

2x = 8 + 12

2x = 20

x = 20/2

x = 10

y = x - 12

y = 10 - 12

y = - 2

solution is (10,-2)

Are they two different problems?

if so then the first one is x = - 7 + 8

the second one I'm not so sure what it is. sorry.