Question

Solve the system of equations:
x-y=4
4x-7z=24
4y+z=8

Answer 1

Answer: x=6, y=2, z=0

Explanation:

We know from the third equation that z=8-4y

and from the first that x=y+4

Substitute into the 2nd equation,

4(y+4)-7(8-4y)=24

4y+16-56+28y=24

32y-40=24

32y=64

y=2

Meaning x=6 and z=0.