Question 121547
x + y = -5
x - y = 3<br>

I would start off by solving equation 2 for x<br>

x = 3 + y <br>

now substitute this value into the first equation and solve for y.<br>

3 + y + y = -5 --> Combine like terms
3 + 2y = -5 --> Subtract 3 from both sides
2y = -8 --> divide both sides by 2
y = -4<br>

now that we have a y value we can go back and solve for x. <br>

x = 3 + -4
x = -1<br>

the solution is (-1,-4)