Answer
$\{(-5,-6)\}$.
Work Step by Step
First equation $y=\frac{3}{5}x-3$.
Plug $y=0$ into the equation.
$\Rightarrow (0)=\frac{3}{5}x-3$
$\Rightarrow -\frac{3}{5}x=-3$
$\Rightarrow x=5$
$x−$ intercept is $A=(5,0)$.
Plug $x=0$ into the equation.
$\Rightarrow y=\frac{3}{5}(0)-3$
$\Rightarrow y=-3$
$y−$ intercept is $B=(0,-3)$.
Second equation $2x-y=-4$.
Plug $y=0$ into the equation.
$\Rightarrow 2x-(0)=-4$
$\Rightarrow 2x=-4$
$\Rightarrow \frac{2x}{2}=\frac{-4}{2}$
$\Rightarrow x=-2$
$x−$ intercept $C=(-2,0)$.
Plug $x=0$ into the equation.
$\Rightarrow 2(0)-y=-4$
$\Rightarrow -y=-4$
$\Rightarrow y=4$
$y−$ intercept $D=(0,4)$.
Draw two lines using intercept points.
The intersection point is $E=(-5,-6)$
Hence, the solution set is $\{(-5,-6)\}$.
