document.write( "Question 140322: Solve by elimination\r
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\n" ); document.write( "\n" ); document.write( "\"4x%5E2%2B3y%5E2=12\"\r
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Algebra.Com's Answer #102190 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Start with the given system\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B3y%5E2=12\"\r
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\n" ); document.write( "\n" ); document.write( "Multiply both sides of equation 2 by -1\r
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\n" ); document.write( "\n" ); document.write( "\"4x%5E2%2B3y%5E2=12\"\r
\n" ); document.write( "\n" ); document.write( "\"-1%28x%5E2%2B3y%5E2%29=-1%2812%29\"\r
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\n" ); document.write( "\n" ); document.write( "Distribute and multiply\r
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\n" ); document.write( "\n" ); document.write( "\"4x%5E2%2B3y%5E2=12\"\r
\n" ); document.write( "\n" ); document.write( "\"-x%5E2-3y%5E2=-12\"\r
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\n" ); document.write( "\n" ); document.write( "Now add the equations together\r
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\n" ); document.write( "\n" ); document.write( "\"%284x%5E2-x%5E2%29%2B%283y%5E2-3y%5E2%29=12-12\"\r
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\n" ); document.write( "\n" ); document.write( "\"3x%5E2=0\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2=0\" Divide both sides by 3\r
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\n" ); document.write( "\n" ); document.write( "\"x=0\" Take the square root of both sides\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B3y%5E2=12\" Go back to the second equation\r
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\n" ); document.write( "\n" ); document.write( "\"%280%29%5E2%2B3y%5E2=12\" Plug in \"x=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"3y%5E2=12\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "\"y%5E2=4\" Divide both sides by 3\r
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\n" ); document.write( "\n" ); document.write( "\"y=0%2B-sqrt%284%29\" Take the square root of both sides\r
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\n" ); document.write( "\n" ); document.write( "\"y=2\" or \"y=-2\"\r
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\n" ); document.write( "\n" ); document.write( "So when \"x=0\", \"y=2\" or \"y=-2\"\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So our solutions are\r
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\n" ); document.write( "\n" ); document.write( "(0,2) and (0,-2)
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