document.write( "Question 604144: given the equations: y= x^2-6x+10 y+x=4 what is the solution to the given system of equations \n" ); document.write( "

Algebra.Com's Answer #381000 by alicealc(293) $\"\"$ $\"About$

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$\"y=+x%5E2-6x%2B10\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"y%2Bx=4\"$
\n" ); document.write( " $\"y+=+4+-+x\"$
\n" ); document.write( "substitute this into first equation:
\n" ); document.write( " $\"y=+x%5E2-6x%2B10\"$
\n" ); document.write( " $\"4+-+x=+x%5E2-6x%2B10\"$
\n" ); document.write( " $\"0=+x%5E2-6x%2B10-4%2Bx\"$
\n" ); document.write( " $\"0=+x%5E2-5x%2B6\"$
\n" ); document.write( " $\"0=%28x+-+3%29%2A%28x+-+2%29\"$
\n" ); document.write( "x - 3 = 0 or x - 2= 0
\n" ); document.write( "x = 3 or x = 2\r
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\n" ); document.write( "\n" ); document.write( "if x = 3 then y = 4 - x = 4 - 3 = 1
\n" ); document.write( "if x = 2 then y = 4 - y = 4 - 2 = 2\r
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\n" ); document.write( "\n" ); document.write( "so, the solutions are:
\n" ); document.write( "{(3,1), (2,2)}
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