document.write( "Question 1034664: I need to solve this equation by the elimination method and keep coming up with zero. I feel I'm missing something. Help would be much appreciated.\r
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Algebra.Com's Answer #649304 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "What you're missing is that this is a dependent system and\r\n" );
document.write( "there are infinitely many solutions to the system.\r\n" );
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document.write( "When you try to solve them by the elimination method,\r\n" );
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document.write( "If you clear the fraction of the second\r\n" );
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document.write( "2x-5=3/2y\r\n" );
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document.write( "you get:\r\n" );
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document.write( "4x-10=3y\r\n" );
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document.write( "And put it in standard order\r\n" );
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document.write( "4x-3y=10\r\n" );
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document.write( "which is identical to the first equation.\r\n" );
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document.write( "So when you try to solve them by elimination,\r\n" );
document.write( "you get:\r\n" );
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document.write( " 4x-3y = 10\r\n" );
document.write( "-4x+3y =-10\r\n" );
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document.write( "    0y = 0\r\n" );
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document.write( "So you don't get 0, you get\r\n" );
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document.write( "   0y = 0\r\n" );
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document.write( "And every value of y will satisfy that equation.\r\n" );
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document.write( "So there are infinitely many solutions.\r\n" );
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document.write( "Graphically they are two lines one coinciding with\r\n" );
document.write( "the other.  Therefore they \"intersect\" everywhere.\r\n" );
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document.write( "The \"solution\" is \"It is a dependent system with infinitely\r\n" );
document.write( "many solutions.\"\r\n" );
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document.write( "Edwin
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