Answer
$\{(2,3)\}$.
Work Step by Step
First equation $x+y=5$.
Plug $y=0$ into the equation.
$\Rightarrow x+(0)=5$
$\Rightarrow x=5$
$x−$ intercept is $A=(5,0)$.
Plug $x=0$ into the equation.
$\Rightarrow (0)+y=5$
$\Rightarrow y=5$
$y−$ intercept $B=(0,5)$.
Second equation $3x-y=3$.
Plug $y=0$ into the equation.
$\Rightarrow 3x-(0)=3$
$\Rightarrow 3x=3$
$\Rightarrow \frac{3x}{3}=\frac{3}{3}$
$\Rightarrow x=1$
$x−$ intercept $C=(1,0)$.
Plug $x=0$ into the equation.
$\Rightarrow 3(0)-y=3$
$\Rightarrow -y=3$
$\Rightarrow -y(-1)=3(-1)$
$\Rightarrow y=-3$
$y−$ intercept $D=(0,-3)$.
Draw two lines using intercept points.
The intersection point is $E=(2,3)$.
Hence, the solution set is $=\{(2,3)\}$.
