Answer
The solution is $(4,0)$.
Work Step by Step
The given system of linear equation is
$y=-x+4$ ...... (1)
$y=2x-8$ ...... (2)
Graph each equation.
The intersection point is $(4,0)$.
Check the intersection point.
Equation 1:
$\Rightarrow y=-x+4$
$\Rightarrow 0=-4+4$
$\Rightarrow 0=0$
True.
Equation 2:
$\Rightarrow y=2x-8$
$\Rightarrow 0=2(4)-8$
$\Rightarrow 0=8-8$
$\Rightarrow 0=0$
True.
The solution is $(4,0)$.
