Question Which equation is equivalent to w=x+y−z ?(1 point) Responses z=x+y+w z equals x plus y plus w z=x+y−w z equals x plus y minus w z=(x+y)w z equals Start Fraction left parenthesis x plus y right parenthesis over w End Fraction z=w−x−y

Answer 1

To find an equation equivalent to \( w = x + y - z \), let's rearrange it to solve for \( z \):

Starting with: \[ w = x + y - z \]

We can add \( z \) to both sides: \[ w + z = x + y \]

Next, we can isolate \( z \) by subtracting \( w \) from both sides: \[ z = x + y - w \]

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

This corresponds to the response: z = x + y - w.