which equation is equivalent to w=x+y-z

Question

A z=x+y+w
B z=x+y-w
C z=(x+y)/w
D z=w-x-y

Answer 1

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

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

We can rearrange this equation to solve for \( z \): \[ z = x + y - w \]

Now, we can compare this with the options provided:

• Option A: \( z = x + y + w \) (not equivalent)
• Option B: \( z = x + y - w \) (this matches our rearranged equation)
• Option C: \( z = \frac{x + y}{w} \) (not equivalent)
• Option D: \( z = w - x - y \) (not equivalent)

Thus, the equivalent equation is: B: \( z = x + y - w \).