Which equation is equivalent to w=x+y−z ?(1 point)

Question

Responses

z=(x+y)w
z equals Start Fraction left parenthesis x plus y right parenthesis over w End Fraction

z=w−x−y
z equals w minus x minus y

z=x+y+w
z equals x plus y plus w

z=x+y−w

Answer 1

To find an equation equivalent to \( w = x + y - z \), we can rearrange it to express \( z \) in terms of the other variables.

Starting from the original equation: \[ w = x + y - z \]

We can solve for \( z \) by adding \( z \) to both sides and then subtracting \( w \) from both sides: \[ z = x + y - w \]

So the equivalent equation is: \[ z = x + y - w \]

This matches with the response: z = x + y - w.