Answer
$x=5$ and $x=-\dfrac{11}{3}$ satisfy the given conditions
Work Step by Step
$y=|2-3x|$ and $y=13$
Substitute $y$ by $13$:
$|2-3x|=13$
Solving an absolute value equation is equivalent to solving two separate equations, which are $2-3x=13$ and $2-3x=-13$
Solve these two equations for $x$:
$2-3x=13$
$-3x=13-2$
$-3x=11$
$x=-\dfrac{11}{3}$
$2-3x=-13$
$-3x=-13-2$
$-3x=-15$
$x=\dfrac{-15}{-3}$
$x=5$
$x=5$ and $x=-\dfrac{11}{3}$ satisfy the given conditions
