document.write( "Question 1197265: Determine the coordinates of the point(s) of intersection for the following linear-quadratic system algebraically:\r
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Algebra.Com's Answer #830467 by ikleyn(52778) $\"\"$ $\"About$

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document.write( "Reduce two starting equations to one single equation for x, eliminating y\r\n" );
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document.write( "    x^2 - 7x + 15 = 2x - 5\r\n" );
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document.write( "Write it in the standard form\r\n" );
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document.write( "    x^2 - 9x + 20 = 0\r\n" );
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document.write( "Factor left side\r\n" );
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document.write( "    (x-4)*(x-5) = 0\r\n" );
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document.write( "The roots are 4 and 5.\r\n" );
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document.write( "For each root calculate y\r\n" );
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document.write( "     =  = 2*4 - 5 = 3;\r\n" );
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document.write( "     =  = 2*5 - 5 = 5.\r\n" );
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document.write( "ANSWER.  There are 2 solutions:  (1)  (x,y) = (4,3)  and  (2)  (x,y) = (5,5).\r\n" );
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