Answer
The solution is $(2,-5)$.
The graph is shown below.
Work Step by Step
The given system of linear equation is
$y=-3x+1$ ...... (1)
$y=x-7$ ...... (2)
Graph each equation.
The intersection point is $(2,-5)$.
Check the intersection point.
Equation 1:
$\Rightarrow y=-3x+1$
$\Rightarrow -5=-3(2)+1$
$\Rightarrow -5=-6+1$
$\Rightarrow -5=-5$
True.
Equation 2:
$\Rightarrow y=x-7$
$\Rightarrow -5=2-7$
$\Rightarrow -5=-5$
True.
Hence, the solution is $(2,-5)$.
