document.write( "Question 284546: Solve the system of equations by substitution
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Algebra.Com's Answer #206443 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Solve the system of equations by substitution
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document.write( "\"system%282x%2B3y=13.50%2C3x%2B2y=16.50%29\"\r\n" );
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document.write( "Solve the first equation for x\r\n" );
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document.write( "\"2x%2B3y=13.50\"\r\n" );
document.write( "\"2x=13.50-3y\"\r\n" );
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document.write( " Divide every term by 2\r\n" );
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document.write( "\"x=6.75-1.5y\"\r\n" );
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document.write( "Substitute \"%286.75-1.5y%29\" for x in the second equation:\r\n" );
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document.write( "\"3x%2B2y=16.50\"\r\n" );
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document.write( "\"3%286.75-1.5y%29%2B2y=16.50\"\r\n" );
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document.write( "Distribute the 3 into the parentheses:\r\n" );
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document.write( "\"20.25-4.5y%2B2y=16.50\"\r\n" );
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document.write( "Combine like terms:\r\n" );
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document.write( "\"20.25-2.5y=16.50\"\r\n" );
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document.write( "Add -20.25 to both sides:\r\n" );
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document.write( "\"-2.5y=-3.75\"\r\n" );
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document.write( "Divide both sides by \"-2.5\"\r\n" );
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document.write( "\"y=1.5\"\r\n" );
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document.write( "Substitute \"%281.5%29\" for \"y\" in \r\n" );
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document.write( "\"x=6.75-1.5y\"\r\n" );
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document.write( "\"x=6.75-1.5%281.5%29\"\r\n" );
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document.write( "\"x=4.5\"\r\n" );
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document.write( "Solution: (x,y) = (4.5,1.5)\r\n" );
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document.write( "Edwin
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