document.write( "Question 1014783: how do I solve 1/2x+1/3y=3
\n" ); document.write( " 3x+5y=36
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Algebra.Com's Answer #631110 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
I think you mean x/2 + y/3 = 3
\n" ); document.write( "1) x/2 + y/3 = 3
\n" ); document.write( "The GCF is 6
\n" ); document.write( "3x + 2y = 18
\n" ); document.write( "solve for x
\n" ); document.write( "x = (18 -2y) / 3
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\n" ); document.write( "2) 3x + 5y = 36
\n" ); document.write( "substitute for x
\n" ); document.write( "(3 * (18 -2y) / 3) +5y = 36
\n" ); document.write( "((54 -6y) / 3) +5y = 36
\n" ); document.write( "GCF is 3
\n" ); document.write( "54 -6y +15y = 108
\n" ); document.write( "9y = 54
\n" ); document.write( "y = 6
\n" ); document.write( ":
\n" ); document.write( "now substitute for y in equation 2
\n" ); document.write( "3x + 30 = 36
\n" ); document.write( "3x = 6
\n" ); document.write( "x = 2
\n" ); document.write( ":
\n" ); document.write( "our solution is x=2 and y=6
\n" ); document.write( "now check the solution by substituting in equation 1)
\n" ); document.write( ":
\n" ); document.write( "2/2 + 6/3 = 3
\n" ); document.write( "1 + 2 = 3
\n" ); document.write( "3 = 3
\n" ); document.write( "our answer checks\r
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