Solve the system by substitution, show all steps.

-x-y-z=-8

-4+4y+5z=7

2x+2z=4

From the third equation 2z=-2x+4

z=-x+2

plug into the second equation - 4+4y+5 (-x+2) = 7

-4+4y-5x+10=7

4y-5x=1

y=5/4x+1/4

plug both of these into the first equation x+y+z=8

x+5/4x+1/4 + (-x+2) = 8

5/4x+2.25=8

5/4x=5.75

x=4.6

now plug back into the substitution equations.

z=-x+2 = - 4.6+2 = - 2.6

y=5/4x+1/4=5.75+1/4=6

the answer is (4.6, 6, - 2.6)