document.write( "Question 1061574: Hi, please help me solve this by using the addition method. Thank you so much!\r
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Algebra.Com's Answer #676335 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Hi, please help me solve this by using the addition method. Thank you so much!\r
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document.write( "Their graphs are a circle with an ellipse inside, like this\r\n" );
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document.write( "They do not intersect so there are no real solutions.  However \r\n" );
document.write( "there are imaginary solutions:\r\n" );
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document.write( "Multiply the first equation through by -4\r\n" );
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document.write( "\"system%28-4x%5E2-4y%5E2=-64%2C4x%5E2%2B9y%5E2=36%29+\"\r\n" );
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document.write( "Now add them term by term\r\n" );
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document.write( "\"+0x%5E2%2B5y%5E2=-28+\"\r\n" );
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document.write( "      \"+5y%5E2=-28+\"\r\n" );
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document.write( "      \"+y%5E2=%28-28%29%2F5\"\r\n" );
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document.write( "      \"+y%5E2=-28%2F5%0D%0A%0D%0A++++++%7B%7B%7By=+%22%22+%2B-+sqrt%28-28%2F5%29\"\r\n" );
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document.write( "      \"y=+%22%22+%2B-+i%2Asqrt%2828%2F5%29\"\r\n" );
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document.write( "      \"+y=+%22%22+%2B-+i%2Asqrt%2828%29%2Fsqrt%285%29+\"\r\n" );
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document.write( "      \"+y=+%22%22+%2B-+i%2Asqrt%284%2A7%29%2Fsqrt%285%29+\"\r\n" );
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document.write( "      \"+y=+%22%22+%2B-+2i%2Asqrt%287%29%2Fsqrt%285%29+\" \r\n" );
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document.write( "           \r\n" );
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document.write( "      \"+y=+%22%22+%2B-+2i%2Asqrt%2835%29%2F5+\"\r\n" );
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document.write( "When the first unknown you find is complicated, do not substitute\r\n" );
document.write( "to find the other unknown.  Instead, start over and eliminate the\r\n" );
document.write( "other unknown:\r\n" );
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document.write( "\"system%28x%5E2%2By%5E2=16%2C4x%5E2%2B9y%5E2=36%29\"\r\n" );
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document.write( "Multiply the first equation through by -9\r\n" );
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document.write( "\"system%28-9x%5E2-9y%5E2=-144%2C4x%5E2%2B9y%5E2=36%29+\"\r\n" );
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document.write( "Now add them term by term\r\n" );
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document.write( "\"-5x%5E2%2B0y%5E2=-108+\"\r\n" );
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document.write( "      \"-5x%5E2=-108+\"\r\n" );
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document.write( "      \"+x%5E2=%28-108%29%2F%28-5%29\"\r\n" );
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document.write( "      \"+x%5E2=108%2F5%0D%0A%0D%0A++++++%7B%7B%7Bx=+%22%22+%2B-+sqrt%28108%2F5%29\"\r\n" );
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document.write( "      \"x=+%22%22+%2B-+sqrt%28108%2F5%29\"\r\n" );
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document.write( "      \"+x=+%22%22+%2B-+sqrt%28108%29%2Fsqrt%285%29+\"\r\n" );
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document.write( "      \"+x=+%22%22+%2B-+sqrt%2836%2A3%29%2Fsqrt%285%29+\"\r\n" );
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document.write( "      \"+x=+%22%22+%2B-+6sqrt%283%29%2Fsqrt%285%29+\" \r\n" );
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document.write( "           \r\n" );
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document.write( "      \"+x=+%22%22+%2B-+6%2Asqrt%2815%29%2F5+\" \r\n" );
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document.write( "So there are 4 solutions:\r\n" );
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document.write( "Edwin
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