document.write( "Question 501602: Solve the following system (if possible) and place your answer below:\r
\n" ); document.write( "\n" ); document.write( "3/x - 2/y = -30
\n" ); document.write( "2/x - 3/y = -30 \n" ); document.write( "

Algebra.Com's Answer #338707 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"3%2Fx+-+2%2Fy+=+-30\"$
\n" ); document.write( " $\"2%2Fx+-+3%2Fy+=+-30\"$
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st equation by 2, the 2nd equation by 3:
\n" ); document.write( " $\"6%2Fx+-+4%2Fy+=+-60\"$
\n" ); document.write( " $\"6%2Fx+-+9%2Fy+=+-90\"$
\n" ); document.write( "-------------subtraction eliminates x, find y
\n" ); document.write( "+ $\"5%2Fy+=+30\"$
\n" ); document.write( "30y = 5
\n" ); document.write( "y = $\"5%2F30\"$
\n" ); document.write( "y = $\"1%2F6\"$
\n" ); document.write( ":
\n" ); document.write( "Find x using the 1st equation
\n" ); document.write( " $\"3%2Fx\"$ - $\"2%2F%281%2F6%29+=+-30\"$
\n" ); document.write( " $\"3%2Fx+-+12+=+-30\"$
\n" ); document.write( " $\"3%2Fx\"$ = -30 + 12
\n" ); document.write( " $\"3%2Fx\"$ = -18
\n" ); document.write( "-18x = 3
\n" ); document.write( "x = $\"3%2F%28-18%29\"$
\n" ); document.write( "x = $\"-1%2F6\"$
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 2nd equation
\n" ); document.write( " $\"2%2F%28-1%2F6%29\"$ - $\"3%2F%281%2F6%29+=+-30\"$
\n" ); document.write( "-12 - 18 = -30 \n" ); document.write( "

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