document.write( "Question 257977: What is the points of intersection of these equations\r
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Algebra.Com's Answer #189842 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"system%28y=x%2B3%2C+x%5E2%2By%5E2%2B4x-8y%2B11=0%29\"\r\n" );
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document.write( "Substitute \"%28x%2B3%29\" for y in the second equation:\r\n" );
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document.write( "\"x%5E2%2By%5E2%2B4x-8y%2B11=0\"\r\n" );
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document.write( "\"x%5E2%2B%28x%2B3%29%5E2%2B4x-8%28x%2B3%29%2B11=0\"\r\n" );
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document.write( "\"x%5E2%2B%28x%2B3%29%28x%2B3%29%2B4x-8x-24%2B11=0\"\r\n" );
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document.write( "\"x%5E2%2B%28x%5E2%2B3x%2B3x%2B9%29%2B4x-8x-24%2B11=0\"\r\n" );
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document.write( "\"x%5E2%2B%28x%5E2%2B6x%2B9%29%2B4x-8x-24%2B11=0\"\r\n" );
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document.write( "\"x%5E2%2Bx%5E2%2B6x%2B9%2B4x-8x-24%2B11=0\"\r\n" );
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document.write( "\"2x%5E2%2B2x-4=0\"\r\n" );
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document.write( "Divide every term by 2\r\n" );
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document.write( "\"x%5E2%2Bx-2=0\"\r\n" );
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document.write( "Factor:\r\n" );
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document.write( "\"%28x%2B2%29%28x-1%29=0\"\r\n" );
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document.write( "Use zero-factor principle:\r\n" );
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document.write( "\"x%2B2=0\" gives solution \"x=-2\"\r\n" );
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document.write( "\"x-1=0\" gives solution \"x=1\"\r\n" );
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document.write( "Now we must find the value of y for each of these\r\n" );
document.write( "two values for x.\r\n" );
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document.write( "For \"x=-2\" we substitute -2 for x in \r\n" );
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document.write( "\"y=x%2B3\"\r\n" );
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document.write( "\"y=%28-2%29%2B3\"\r\n" );
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document.write( "\"y=1\"\r\n" );
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document.write( "So one solution is (x,y) = (-2,1)\r\n" );
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document.write( "For \"x=1\" we substitute 1 for x in \r\n" );
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document.write( "\"y=x%2B3\"\r\n" );
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document.write( "\"y=%281%29%2B3\"\r\n" );
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document.write( "\"y=4\"\r\n" );
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document.write( "So the other solution is (x,y) = (1,4)\r\n" );
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document.write( "Graphically we have this\r\n" );
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document.write( "Edwin
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