document.write( "Question 168735: solve using any methord
\n" ); document.write( "x/3-y/2=3
\n" ); document.write( "x/2+y/3=7/3
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Algebra.Com's Answer #124375 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"x%2F3-y%2F2=3\" Start with the first equation.\r
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\n" ); document.write( "\n" ); document.write( "\"6%28x%2Fcross%283%29%29-6%28y%2Fcross%282%29%29=6%283%29\" Multiply EVERY term by the LCD \"6\" to clear the fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"2x-3y=18\" Multiply and simplify\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F2%2By%2F3=7%2F3\" Move onto the second equation.\r
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\n" ); document.write( "\n" ); document.write( "\"6%28x%2Fcross%282%29%29%2B6%28y%2Fcross%283%29%29=6%287%2Fcross%283%29%29\" Multiply EVERY term by the LCD \"6\" to clear the fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"3x%2B2y=14\" Multiply and simplify\r
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\n" ); document.write( "\n" ); document.write( "So we have the system of equations:\r
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\n" ); document.write( "\n" ); document.write( "\"system%282x-3y=18%2C3x%2B2y=14%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"2%282x-3y%29=2%2818%29\" Multiply the both sides of the first equation by 2.\r
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\n" ); document.write( "\n" ); document.write( "\"4x-6y=36\" Distribute and multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"3%283x%2B2y%29=3%2814%29\" Multiply the both sides of the second equation by 3.\r
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\n" ); document.write( "\n" ); document.write( "\"9x%2B6y=42\" Distribute and multiply.\r
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\n" ); document.write( "\n" ); document.write( "So we have the new system of equations:\r
\n" ); document.write( "\n" ); document.write( "\"system%284x-6y=36%2C9x%2B6y=42%29\"\r
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\n" ); document.write( "\n" ); document.write( "Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:\r
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\n" ); document.write( "\n" ); document.write( "\"%284x-6y%29%2B%289x%2B6y%29=%2836%29%2B%2842%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%284x%2B9x%29%2B%28-6y%2B6y%29=36%2B42\" Group like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"13x%2B0y=78\" Combine like terms. Notice how the y terms cancel out.\r
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\n" ); document.write( "\n" ); document.write( "\"13x=78\" Simplify.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2878%29%2F%2813%29\" Divide both sides by \"13\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=6\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "\"4x-6y=36\" Now go back to the first equation.\r
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\n" ); document.write( "\n" ); document.write( "\"4%286%29-6y=36\" Plug in \"x=6\".\r
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\n" ); document.write( "\n" ); document.write( "\"24-6y=36\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"-6y=36-24\" Subtract \"24\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-6y=12\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"y=%2812%29%2F%28-6%29\" Divide both sides by \"-6\" to isolate \"y\".\r
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\n" ); document.write( "\n" ); document.write( "\"y=-2\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So our answer is \"x=6\" and \"y=-2\".\r
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\n" ); document.write( "\n" ); document.write( "Which form the ordered pair .\r
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