IF x+y=0, which of the following must be equivalent to x-y?

Options

A. `-2y`
B. `x/y`
C. x
D. `x^2`

Answer

To solve the problem, we start with the equation given:

1. **Given Equation**:
\[ x + y = 0 \]

2. **Rearranging the Equation**:
From the equation \(x + y = 0\), we can express \(x\) in terms of \(y\):
\[ x = -y \]

3. **Substituting into \(x - y\)**:
Now, we need to find \(x - y\). We substitute the value of \(x\) we found:
\[ x - y = (-y) - y \]

4. **Simplifying the Expression**:
Now we simplify the expression:
\[ x - y = -y - y = -2y \]

5. **Final Result**:
Therefore, \(x - y\) is equivalent to:
\[ x - y = -2y \]

Thus, the answer is \(-2y\).