Answer
$equivalent$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the properties of equality to solve each of the given equations, $
5x-4=2x
$ and $
3x=4
.$ If the solutions are the same, then the equations are equivalent.
$\bf{\text{Solution Details:}}$
Using the properties of equality to isolate the variable, the first equation is equivalent to
\begin{array}{l}\require{cancel}
5x-4=2x
\\\\
5x-2x=4
\\\\
3x=4
\\\\
x=\dfrac{4}{3}
.\end{array}
Using the properties of equality to isolate the variable, the second equation is equivalent to
\begin{array}{l}\require{cancel}
3x=4
\\\\
x=\dfrac{4}{3}
.\end{array}
Since the solutions of both of the given equations are the same, then the equations are $\text{
equivalent
.}$
