document.write( "Question 159055: Solve the following system of equations algebraically:
\n" ); document.write( "y = x^2-6x+6
\n" ); document.write( "y-x= -4 \n" ); document.write( "

Algebra.Com's Answer #117173 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"y+=+x%5E2-6x%2B6\"$
\n" ); document.write( "2. $\"y-x=-4\"$
\n" ); document.write( "Use eq. 2 and find an expression for y in terms of x.
\n" ); document.write( "2. $\"y-x=-4\"$
\n" ); document.write( " $\"y=x-4\"$
\n" ); document.write( "Substitute into eq. 1 and solve for x.
\n" ); document.write( "1. $\"y+=+x%5E2-6x%2B6\"$
\n" ); document.write( " $\"x-4+=+x%5E2-6x%2B6\"$
\n" ); document.write( " $\"x%5E2-7x%2B10=0\"$
\n" ); document.write( " $\"%28x-5%29%28x-2%29=0\"$
\n" ); document.write( "Two solutions, first find x, then corresponding y.
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\n" ); document.write( " $\"%28x-5%29=0\"$
\n" ); document.write( " $\"x=5\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"y=x-4\"$
\n" ); document.write( " $\"y=5-4\"$
\n" ); document.write( " $\"y=1\"$
\n" ); document.write( "First solution : x=5, y=1
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\n" ); document.write( " $\"%28x-2%29=0\"$
\n" ); document.write( " $\"x=2\"$
\n" ); document.write( "from eq. 2,
\n" ); document.write( " $\"y=x-4\"$
\n" ); document.write( " $\"y=2-4\"$
\n" ); document.write( " $\"y=-2\"$
\n" ); document.write( "Second solution : x=2, y=-2
\n" ); document.write( "Check the solutions graphically by plotting both curves,
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