Question

5x+6y=13;-5x+2y=11. how do I solve this

Answer 1

You solve for X in one equation and plug it into the other. So... 

5x+6Y=13 
5x=13-6Y 
x=(13-6Y)/5 

Then, you replace X in the other equation... 

-5x+2y=11 
-5[(13-6y)/5]+2y=11 
-13+6y+2y=11 
8y=11+13 
8y=24 
y=3 

Now that you have Y, you just solve for x using either equations... 

5x+6(3)=13 
5x=13-18 
5x=-5 
x=-1 

Therefore, X = -1 & Y = 3