document.write( "Question 152103: i need to solve this question algebracially\r
\n" ); document.write( "\n" ); document.write( "3/4x-2/5y=2
\n" ); document.write( "1/2x-3/5y=-2
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Algebra.Com's Answer #114803 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
1.\"%283%2F4%29x-%282%2F5%29y=2\"
\n" ); document.write( "2.\"%281%2F2%29x-%283%2F5%29y=-2\"
\n" ); document.write( "I'm not a big fan of fractions so I usually multiply both equations to get rid of denominators.
\n" ); document.write( "Multiply eq. 1 by 20 and eq. 2 by 10.
\n" ); document.write( "1.\"20%283%2F4%29x-20%282%2F5%29y=20%282%29\"
\n" ); document.write( "1.\"15x-8y=40\"
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\n" ); document.write( "2.\"10%281%2F2%29x-10%283%2F5%29y=10%28-2%29\"
\n" ); document.write( "2.\"5x-6y=-20\"
\n" ); document.write( "Now use the elimination method to solve.
\n" ); document.write( "If I multiply eq. 2 by (-3) and add to eq. 1, I can get rid of x,
\n" ); document.write( "\"%2815x-8y%29%2B%28-3%29%285x-6y%29=40%2B%28-3%29%28-20%29\"
\n" ); document.write( "\"%2815x-8y%29%2B%28-15x%2B18y%29=40%2B60\"
\n" ); document.write( "\"10y=100\"
\n" ); document.write( "\"highlight%28y=10%29\"
\n" ); document.write( "Using eq. 1,
\n" ); document.write( "1.\"15x-8y=40\"
\n" ); document.write( "\"15x-8%2810%29=40\"
\n" ); document.write( "\"15x-80=40\"
\n" ); document.write( "\"15x=120\"
\n" ); document.write( "\"highlight%28x=8%29\"
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\n" ); document.write( "Check the answer with the original equations.
\n" ); document.write( "1.\"%283%2F4%29x-%282%2F5%29y=2\"
\n" ); document.write( "\"%283%2F4%29%288%29-%282%2F5%29%2810%29=2\"
\n" ); document.write( "\"6-4=2\"
\n" ); document.write( "\"2=2\"
\n" ); document.write( "True.
\n" ); document.write( "I'll leave it to you to verify that eq. 2 works also.
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