We can do the elimination method to find the solution for this problem. The elimination method involves adding the two equations together to get rid of a like term.
x + 2y = 7 + x - 2y = -1 ————————— 2x = 6
Now that we eliminated 2y because they cancel out, we are left with 2x = 6. Divide both sides by 2 in order to get x.
The answer is: x = 3.
Now that we know the numerical value of x, all we have to do is plug x into either system of equation in order to find the numerical value of y.