Х-у=5 х+у=7

To solve this system of equations, we can use the method of addition or elimination.

Let's use the method of addition. We add the two equations together to eliminate the variable y:

(x - y) + (x + y) = 5 + 7 2x = 12

Now we solve for x by dividing both sides of the equation by 2:

2x/2 = 12/2 x = 6

Substituting the value of x back into one of the original equations, we can solve for y:

x + y = 7 6 + y = 7 y = 7 - 6 y = 1

Therefore, the solution to the system of equations is x = 6 and y = 1.