document.write( "Question 968002: Hello again,\r
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\n" ); document.write( "For the following system of non-linear equations sketch the graph, label the points of intersection of the two systems, and solve using substitution:\r
\n" ); document.write( "\n" ); document.write( "a) x^2 − y = 0
\n" ); document.write( "b) x + y = 2 \n" ); document.write( "
Algebra.Com's Answer #591664 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"system%28x%5E2-y+=+0%2Cx+%2B+y+=+2%29\"\r\n" );
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document.write( "Solve the second equation for y:\r\n" );
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document.write( "x + y = 2\r\n" );
document.write( "    y = 2 - x\r\n" );
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document.write( "Substitute (2 - x) for y in the first equation:\r\n" );
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document.write( "\"x%5E2+-+y+=+0\"\r\n" );
document.write( "\"x%5E2+-+%282+-+x%29+=+0\"\r\n" );
document.write( "\"x%5E2+-+2+%2B+x+=+0\"\r\n" );
document.write( "\"x%5E2+%2B+x+-+2+=+0\"\r\n" );
document.write( "\"%28x%2B2%29%28x-1%29+=+0\"\r\n" );
document.write( "\"x%2B2=0\",  \"x-1=0\"\r\n" );
document.write( "\"x=-2\",   \"x=1\"\r\n" );
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document.write( "Substitute x = -2 in\r\n" );
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document.write( "  y = 2 - x\r\n" );
document.write( "  y = 2 - (-2)\r\n" );
document.write( "  y = 2 + 2\r\n" );
document.write( "  y = 4\r\n" );
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document.write( "So one point where they cross is (-2,4).\r\n" );
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document.write( "Substitute x = 1 in\r\n" );
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document.write( "  y = 2 - x\r\n" );
document.write( "  y = 2 - (1)\r\n" );
document.write( "  y = 2 - 1\r\n" );
document.write( "  y = 1\r\n" );
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document.write( "So another point where they cross is (1,1).\r\n" );
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document.write( "Get some points on     x + y = 2, (-1,3), (-2,4), (0,2), (1,1), (2,0)\r\n" );
document.write( "Get some points on     x^2 - y = 0, (-2,4), (-1,1), (0,0), (1,1), (2,4) \r\n" );
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document.write( "Edwin
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