document.write( "Question 1007316: Given the equation of the circle \"+x%5E2+%2By%5E2=25+\" and the equation of the line \"+2x%2By=10\"... Find the solutions algebraically. I don't get what we're supposed to do with those equations, add them, multiply, or what? \n" ); document.write( "
Algebra.Com's Answer #623286 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Instead of doing your problem for you, I'll\r\n" );
document.write( "do one EXACTLY like it in every detail, step\r\n" );
document.write( "by step.  You can then do yours EXACTLY the\r\n" );
document.write( "same way, using this one as a guide.\r\n" );
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\n" ); document.write( "Given the equation of an ellipse \"x%5E2+%2B4y%5E2=8\" and the
\n" ); document.write( "equation of a line \"y-x=-3\"...Find the solutions
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document.write( "\"system%28+x%5E2+%2B4y%5E2=8%2Cy-x=-3%29\"\r\n" );
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document.write( "Solve the second equation for y\r\n" );
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document.write( "\"y-x=-3\"\r\n" );
document.write( "   \"y=x-3\"\r\n" );
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document.write( "Substitute for y in the first equation:\r\n" );
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document.write( "\"x%5E2%2B4%28x-3%29%5E2=8\"\r\n" );
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document.write( "\"x%5E2%2B4%28x-3%29%28x-3%29=8\"\r\n" );
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document.write( "\"x%5E2%2B4%28x%5E2-6x%2B9%29=8\"\r\n" );
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document.write( "\"x%5E2-4x%5E2-24x%2B36=8\"\r\n" );
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document.write( "\"5x%5E2-24x%2B36=8\"\r\n" );
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document.write( "\"5x%5E2-24x%2B28=0\"\r\n" );
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document.write( "Factor:\r\n" );
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document.write( "\"%285x-14%29%28x-2%29=0\"\r\n" );
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document.write( "5x-14=0;  x-2=0\r\n" );
document.write( " 5x=14;    x=2\r\n" );
document.write( "  x=14/5;\r\n" );
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document.write( "Substitute each in    \r\n" );
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document.write( "\"y=x-3\"\r\n" );
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document.write( "Substitute x=14/5\r\n" );
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document.write( "\"y=14%2F5-3\"\r\n" );
document.write( "\"y=14%2F5-15%2F5\"\r\n" );
document.write( "\"y=-1%2F5\"\r\n" );
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document.write( "So one point is (x,y) = (14/5,1/5)\r\n" );
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document.write( "Substitute x=2\r\n" );
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document.write( "\"y=2-3\"\r\n" );
document.write( "\"y=-1\"\r\n" );
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document.write( "So the other point is (x,y) = (2,-1)\r\n" );
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document.write( "Now do yours exactly the same way\r\n" );
document.write( "step-by-step.\r\n" );
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document.write( "Edwin
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