Question 449380
We are trying to solve the following system of equations:

x + y = 5
x - y = -9

Notice that the "y" terms are opposite in sign so we can simply add the equations together, like this:

2x + 0y = -4

2x = -4

Divide both sides by 2:  x = -4/2 = -2

Now, x = -2 so substitute into either equation. Since the first equation involves addition and it looks easier, let's go with this one. We have:

x + y = 5

-2 + y = 5

Add 2 to both sides:

-2 + 2 + y = 5 + 2

y = 7

The solution is: (-2, 7)