document.write( "Question 430768: Please help me to find the solution set(s) to this problem. Thank you!\r
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Algebra.Com's Answer #299115 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\"3x%5E2%2B2y%5E2-29=0\"
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document.write( "Do it by the addition method.\r\n" );
document.write( "Eliminate \"y%5E2\" by multiplying the first equation through by 5\r\n" );
document.write( "and the second equation through by 2.\r\n" );
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document.write( "\"red%285%293x%5E2%2Bred%285%292y%5E2-red%285%2929=red%285%290\"\r\n" );
document.write( "\"red%282%292x%5E2-red%282%295y%5E2-red%282%2913=red%285%290\"\r\n" );
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document.write( "\"15x%5E2%2B10y%5E2-145=0\"\r\n" );
document.write( " \"4x%5E2-10y%5E2-26=0\"\r\n" );
document.write( "\"19x%5E2-171=0\"\r\n" );
document.write( "\"x%5E2-9=0\"\r\n" );
document.write( "\"x%5E2=9\"\r\n" );
document.write( "\"x=%22%22%2B-+3\" \r\n" );
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document.write( "Substitute ±3 for x in\r\n" );
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document.write( "\"3x%5E2%2B2y%5E2-29=0\"\r\n" );
document.write( "\"3%28%22%22%2B-+3%29%5E2%2B2y%5E2-29=0\"\r\n" );
document.write( "\"3%289%29%2B2y%5E2-29=0\"\r\n" );
document.write( "\"27%2B2y%5E2-29=0\"\r\n" );
document.write( "\"2y%5E2-2=0\"\r\n" );
document.write( "\"y%5E2-1=0\"\r\n" );
document.write( "\"y%5E2=1\"\r\n" );
document.write( "\"y=%22%22%2B-+1\"\r\n" );
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document.write( "So there are 4 solutions:\r\n" );
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document.write( "(3,1), (3,-1), (-3,1), and (-3,-1)\r\n" );
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document.write( "Here is the graphical solution:\r\n" );
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document.write( "The black oval curve is the graph of the first equation.\r\n" );
document.write( "The red curve (in two parts) is the graph of the second equation\r\n" );
document.write( "Notice that they intersect at those 4 solution points.\r\n" );
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document.write( "Edwin

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