Question

which equation is equivalent to w=x+y-z
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: \( z = x + y - w \)**.