SOLUTION: find the solution set of the equation {{{(4x-2y)/3 + (2x-3y)/5 = 11/5}}}

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Question 34629: find the solution set of the equation %284x-2y%29%2F3+%2B+%282x-3y%29%2F5+=+11%2F5
Answer by kietra(57) About Me  (Show Source):
You can put this solution on YOUR website!
%284x-2y%29%2F3+%2B+%282x-3y%29%2F5+=+11%2F5 (I hope that's what your problem actually looks like)
First, lets get rid of the fractions. We're going to multiply everything by the least common multiple of the denominators, or 15.
%284x-2y%29%2F3+%2B+%282x-3y%29%2F5+=+11%2F5
%2815%29%2A%28%284x-2y%29%2F3%29+%2B+15%2A%28%282x-3y%29%2F5%29+=15%2A%2811%2F5%29
Now simplify where we can and divide common factors:
%285%29%2A%284x-2y%29+%2B+3%2A%282x-3y%29+=3%2A11
Multiply and simplify a bit:
20x+-+10y+%2B+6x+-+9y+=+33
Combine like terms:
24x+-+19y+=+33
Solve in terms of y
-19y = - 24x + 33
y = 24/19x - 33/19
You can graph if you would like otherwise this is your solution set.