solve the following system by the substitution method x+y=8 y=2-x

We are given the following system of equations:

1) x + y = 8
2) y = 2 - x

We can solve this system by substituting equation 2 into equation 1.

1) x + (2 - x) = 8
2) x + 2 - x = 8
3) 2 = 8

This equation is not true, which means there is no solution to this system. The original equations are inconsistent and do not have a common solution.