## Algebra 1: Common Core (15th Edition)

$(3, 7)$ is the intersection point.
In order to check that the intersection point is correct, we plug in the supposed point, (3, 7), into both equations: $x+y=10 \\ 3+7=10 \\ 10=10$ We now check the second equation: $2x+y=13 \\ 2(3)+7 =13 \\13=13$ We see that the intersection point is correct as it is a solution to both equations.