Question

Question #90833

Answer 1

See below

Explanation:

Equation A: `x + y + z = 6`
Equation B: `x + y = z`
Equation C: `x - z = 1`

Rearrange equation C to isolate `x`
`x = 1 + z`

Substitute this into equation B
`z+1 + y = z`

Rearrange above equation to isolate `y`
`y = - 1 + z - z`
Therefore `y = -1`

Substitute `x=1+z` and `y=-1` into equation A
`1 + z - 1 + z=6`
`2z = 6`
`z= 3`

And therefore substituting `z=3` into equation C to find `x`
`x - 3 = 1`
`x = 4`