document.write( "Question 900731: If x and y satisfy the simultaneous equations \"+16%5Ex-16%5Ey=+64512+\" and \"+4%5Ex-4%5Ey=+224+\", find the sum of x and y. \n" ); document.write( "
Algebra.Com's Answer #546096 by Edwin McCravy(20062)\"\" \"About 
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\"system%28+16%5Ex-16%5Ey=+64512%2C4%5Ex-4%5Ey=+224%29+\"\r\n" );
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document.write( "\"16%5Ex-16%5Ey=+64512\", and since \"16=4%5E2\"\r\n" );
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document.write( "\"%284%5E2%29%5Ex-%284%5E2%29%5Ey=64512\"\r\n" );
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document.write( "\"4%5E%282x%29-4%5E%282y%29=64512\"\r\n" );
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document.write( "\"%284%5Ex%29%5E2-%284%5Ey%29%5E2=64512\"\r\n" );
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document.write( "\"%284%5Ex-4%5Ey%29%284%5Ex%2B4%5Ey%29=64512\", and since \"4%5Ex-4%5Ey=+224+\"\r\n" );
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document.write( "\"224%284%5Ex%2B4%5Ey%29=64512\"\r\n" );
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document.write( "\"%284%5Ex%2B4%5Ey%29=288\"\r\n" );
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document.write( "Now we have the system:\r\n" );
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document.write( "\"system%284%5Ex%2B4%5Ey=288%2C4%5Ex-4%5Ey=+224%29+\"\r\n" );
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document.write( "Adding the two equations:\r\n" );
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document.write( "\"2%2A4%5Ex=512\"\r\n" );
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document.write( "\"4%5Ex=256\"\r\n" );
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document.write( "\"4%5Ex=4%5E4\"\r\n" );
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document.write( "\"x=4\"\r\n" );
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document.write( "Substituting in \"4%5Ex-4%5Ey=+224\"\r\n" );
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document.write( "\"4%5E4-4%5Ey=+224\"\r\n" );
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document.write( "\"256-4%5Ey=224\"\r\n" );
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document.write( "\"-4%5Ey=-32\"\r\n" );
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document.write( "\"4%5Ey=32\", since \"2%5E2=4\" and \"2%5E5=32\"\r\n" );
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document.write( "\"%282%5E2%29%5Ey=2%5E5\"\r\n" );
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document.write( "\"2%5E%282y%29=2%5E5\"\r\n" );
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document.write( "\"2y=5\"\r\n" );
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document.write( "\"y=5%2F2\"\r\n" );
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document.write( "So \"x%2By=4%2B5%2F2=8%2F2%2B5%2F2=13%2F2=6%261%2F2\"\r\n" );
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document.write( "Edwin
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