Answer
$(3,2)$.
Work Step by Step
First equation $2x-y=4$.
Plug $y=0$ into the equation.
$\Rightarrow 2x-0=4$
$\Rightarrow 2x=4$
$\Rightarrow x=2$
x− intercept is $A=(2,0)$.
Plug $x=0$ into the equation.
$\Rightarrow 2(0)-y=4$
$\Rightarrow 0-y=4$
$\Rightarrow -y=4$
$\Rightarrow y=-4$
$y−$ intercept $B=(0,-4)$.
Now second equation $x+y=5$.
Plug $y=0$ into the equation.
$\Rightarrow x+0=5$
$\Rightarrow x=5$
$x−$ intercept $C=(5,0)$.
Plug $x=0$ into the equation.
$\Rightarrow 0+y=5$
$\Rightarrow y=5$
$y−$ intercept $D=(0,5)$.
Draw two lines using intercept points.
Graph is shown below in the image.
The intersection point of both lines is the solution.
Here we have the intersection point at $(3,2)$.
