Question

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

Answer 1

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

Starting with the original equation:

\[
w = x + y - z
\]

We can isolate \( z \) on one side:

1. Add \( z \) to both sides:
\[
w + z = x + y
\]

2. Then, subtract \( w \) from both sides:
\[
z = x + y - w
\]

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

Based on your options, the correct equivalent equation is:

**\( z = x + y - w \)**.