Chapter 5 - Solving Systems of Linear Equations - 5.1 - Solving Systems of Linear Equations by Graphing - Monitoring Progress - Page 237: 3

$(3,1)$

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