Answer
The two equations are equivalent because they have the same solution of $x=-5$.
Work Step by Step
Equivalent equations are equations with the same solution.
To determine if the given equations are equivalent, check if they have the same solution.
$\begin{align*}
-2x&=10\\
\frac{-2x}{-2}&=\frac{10}{-2}\\
x&=-5
\end{align*}$
$\begin{align*}
-5x&=25\\
\frac{-5x}{-5}&=\frac{25}{-5}\\
x&=-5
\end{align*}$
Since the two equations have the same solution, then they are equivalent equations.
