It is a solution.
Work Step by Step
In order to see if the given ordered pair is a solution, we plug in the given values for x and y into both equations. Then, we follow order of operations. According to order of operations, we simplify inside parentheses, then we simplify powers, then we multiply and divide, and finally, we add and subtract. When we do this, we find: $x-y=12\\\\7-(-5)=12\\\\7+5=12\\\\12=12$ Equation 2: $x+y=2 \\\\ 7+(-5)=2 \\\\ 7-5=2 \\\\ 2=2$ The solution is true for both equations, so this is a solution to the system.