document.write( "Question 34629: find the solution set of the equation $\"%284x-2y%29%2F3+%2B+%282x-3y%29%2F5+=+11%2F5\"$ \n" ); document.write( "

Algebra.Com's Answer #21180 by kietra(57) $\"\"$ $\"About$

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)
\n" ); document.write( "First, lets get rid of the fractions. We're going to multiply everything by the least common multiple of the denominators, or 15.
\n" ); document.write( " $\"%284x-2y%29%2F3+%2B+%282x-3y%29%2F5+=+11%2F5\"$
\n" ); document.write( " $\"%2815%29%2A%28%284x-2y%29%2F3%29+%2B+15%2A%28%282x-3y%29%2F5%29+=15%2A%2811%2F5%29\"$
\n" ); document.write( "Now simplify where we can and divide common factors:
\n" ); document.write( " $\"%285%29%2A%284x-2y%29+%2B+3%2A%282x-3y%29+=3%2A11\"$
\n" ); document.write( "Multiply and simplify a bit:
\n" ); document.write( " $\"20x+-+10y+%2B+6x+-+9y+=+33\"$
\n" ); document.write( "Combine like terms:
\n" ); document.write( " $\"24x+-+19y+=+33\"$
\n" ); document.write( "Solve in terms of y
\n" ); document.write( "-19y = - 24x + 33
\n" ); document.write( "y = 24/19x - 33/19
\n" ); document.write( "You can graph if you would like otherwise this is your solution set.
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