document.write( "Question 626003: How can I solve 3x+2y=5 & x-2y=4 by using elimination method? \n" ); document.write( "
Algebra.Com's Answer #393931 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Add corresponding terms, using the principle \r\n" );
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document.write( "\"Equals added to equals give equals\"\r\n" );
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document.write( "\"system%283x%2B2y=5%2C++1x-2y=4%2C%22_________%22%29\"\r\n" );
document.write( " \"system%284x%2B0y=9%29\" <- Notice that the y terms were eliminated.\r\n" );
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document.write( "    4x = 9\r\n" );
document.write( "     x = \"9%2F4\"\r\n" );
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document.write( "Now let's eliminate the x-terms.  To do that we have to make the\r\n" );
document.write( "x-terms cancel out like the y-terms did in the first case.\r\n" );
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document.write( "\"system%283x%2B2y=5%2C++1x-2y=4%29\"\r\n" );
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document.write( "Let's multiply the second equation through by -3 so that the 1x\r\n" );
document.write( "will become -3x and will cancel with the 3x in the first\r\n" );
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document.write( "\"system%28%22%22%2B3x%2B2y=5%2C++-3x%2B6y=-12%2C%22_________%22%29\"\r\n" );
document.write( " \"system%28%22%22%2B0x%2B8y=-7%29\" <- Notice that the x terms were eliminated.\r\n" );
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document.write( "    8y = -7\r\n" );
document.write( "     y = \"%28-7%29%2F8\"\r\n" );
document.write( "     y = \"-7%2F8\"\r\n" );
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document.write( "Solution: If the lines were graphed they would intersect at\r\n" );
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document.write( "the point (\"9%2F4\",\"-7%2F8\")\r\n" );
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document.write( "Edwin
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