Let's solve the equation \( \frac{x}{-3} = 8 \) for \( x \).
- Multiply both sides by \(-3\): \[ x = 8 \times -3 \] \[ x = -24 \]
So, a value of \( x \) that makes the equation true is \(-24\).
Now, substituting \(-24\) back into the equation and simplifying: \[ \frac{-24}{-3} = 8 \] This simplifies to: \[ 8 = 8 \] So the equation turns into \( 8 = 8 \).
To find a value of \( x \) that makes the equation false, we can choose any value of \( x \) that is not \(-24\). For example, let’s choose \( 0 \).
Substituting \( 0 \) into the equation gives: \[ \frac{0}{-3} = 8 \] This simplifies to: \[ 0 = 8 \] So the equation turns into \( 0 = 8 \), which is false.
In summary:
- A value of \( x \) that makes the equation true is \( -24 \), turning into \( 8 = 8 \).
- A value of \( x \) that makes the equation false is \( 0 \), turning into \( 0 = 8 \).