Answer
The solution is $(3,4)$.
Work Step by Step
The given system of linear equation is
$y=-x+7$ ...... (1)
$y=x+1$ ...... (2)
Graph each equation.
The intersection point is $(3,4)$.
Check the intersection point.
Equation 1:
$\Rightarrow y=-x+7$
$\Rightarrow 4=-3+7$
$\Rightarrow 4=4$
True.
Equation 2:
$\Rightarrow y=x+1$
$\Rightarrow 4=3+1$
$\Rightarrow 4=4$
True.
The solution is $(3,4)$.