## Intermediate Algebra for College Students (7th Edition)

Equation: $-3(x-3) =5(2-x).$ Solution set : $\{ 0.5 \}$
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.