Question 244847
First take the second equation X-(3*Y)=1 and rewrite it as X=(3*Y)+1. 
Now substitute (3*Y)+1 into the first equation as follows:

(3*X)-(5*Y) = 11 
3*((3*Y)+1))-(5*Y) = 11
(9*Y)+3 - (5*Y) = 11
Collecting terms we have:

4*Y + 3 = 11
4*Y = 8
Y = 2

Now substituting 2 for Y in the rewritten second equation we have:
X = (3*2) + 1
X = 7

The solution then is x=7 and Y = 2 or (7,2)