Chapter 6 - Systems of Equations and Inequalities - 6-1 Solving Systems by Graphing - Practice and Problem-Solving Exercises - Page 367: 14

$(1,2)$

$1$. First equation $y=-x+3$.The slope is $m=-1$ and the y-intercept is $b=3$.Graph the first equation on a graph (blue line) $2.$ The second equation is $y=x+1$.The slope is $m=1$ and the y-intercept is $b=1$. Graph the second equation (red line) $3.$ The two equations intersect at $(1,2)$ so that's the solution.