Question

Which equation is equivalent to w=x+y-z?
Z=w-x-y
Z=(x+y)/w
Z=x+y+w
Z=x+y-w

Answer 1

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

Starting with \( w = x + y - z \), we can isolate \( z \):

\[
z = x + y - w
\]

Now, we can re-arrange this equation to match the options given.

The equivalent equation we found is:

\[
z = x + y - w
\]

Now, let's compare this with the provided options:

1. \( z = w - x - y \)
2. \( z = \frac{x+y}{w} \)
3. \( z = x + y + w \)
4. \( z = x + y - w \)

The fourth option, \( z = x + y - w \), is clearly equivalent to the original equation \( w = x + y - z \).

So the correct answer is:

**Z = x + y - w**.