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

Question

Responses

z=w−x−y
z equals w minus x minus y

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

z=x+y−w
z equals x plus y minus w

z=x+y+w

Answer 1

To find an equivalent equation to \( w = x + y - z \), we can rearrange the original equation to solve for \( z \).

Starting with the original equation:

\[ w = x + y - z \]

We can rearrange it to isolate \( z \):

\[ z = x + y - w \]

This means the equation equivalent to \( w = x + y - z \) is:

\[ z = x + y - w \]

Looking at your response options, this corresponds to:

z equals x plus y minus w

So, the correct equivalent equation is:

z = x + y - w.