Question

X−y−z=0 and y=x+z. Based on these equations, which of the following must be equal to z?

Answer 1

z=0

Explanation:

We have,

x−y−z=0 .....(1)

and

y=x+z ....(2)

Equation (1) can be written as : x-y = z ....(3)

and

Equation () can be written as : y-x=z ....(4)

From (3) and (4) we have:

`x-y=y-x\\\\2x-2y=0\\\\x=y`

Put x=y in equation (1). So,

z=0

So, the value of z is equal to 0.