Question 122478
5x - 3y = 13
4x - 3y = 11<br> 

first thing you need to do is multiply the bottom equation by -1.<br>

-1(4x - 3y = 11)
-4x + 3y = -11<br>

now you need to and the two equations together.<br>

5x - 3y = 13
-4x + 3y = -11
---------------
x = 2

now that you have a value for x plug that into the first equation and solve for y.<br>

5(2) - 3y = 13
10 - 3y = 13
-3y = 3
y = -1<br>

so the answer as a coordinate is (2, -1).