Answer
Equation: $-3(x-3) =5(2-x).$
Solution set : $\{ 0.5 \}$
Work Step by Step
In the $\fbox{$Y=$}$ screen, read the functions that have been entered:
$y_{1}=-3(x-3)$ and $y_{2}=5(2-x)$
The equation to solve is to find x for which $y_{1}= y_{2}$, that is
$-3(x-3) =5(2-x).$
In the table of function values screen,
we find that when$\quad x=.5 \qquad $(row 4)
then$\quad y_{1}=y_{2}=7.5$
meaning that $x=0.5$ is the solution to the equation.
