document.write( "Question 26417: 4X-4Y=4
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Algebra.Com's Answer #14281 by Alwayscheerful(414) $\"\"$ $\"About$

You can put this solution on YOUR website!
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Solved by pluggable solver: Linear System solver (using determinant)

Solve:
\n" ); document.write( " $\"+system%28+%0D%0A++++4%5Cx+%2B+-4%5Cy+=+4%2C%0D%0A++++-2%5Cx+%2B+1%5Cy+=+2+%29%0D%0A++\"$
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\n" ); document.write( " Any system of equations:
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\n" ); document.write( " has solution
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\n" ); document.write( " (x=-3, y=-4}
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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
\n" ); document.write( " $\"+system%28+%0D%0A++++4%5Cx+%2B+-4%5Ca+=+4%2C%0D%0A++++-2%5Cx+%2B+1%5Ca+=+2+%29%0D%0A++\"$ We'll use substitution. After moving -4*a to the right, we get:
\n" ); document.write( " $\"4%2Ax+=+4+-+-4%2Aa\"$ , or $\"x+=+4%2F4+-+-4%2Aa%2F4\"$ . Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " $\"-2%2A%284%2F4+-+-4%2Aa%2F4%29+%2B+1%5Ca+=+2\"$ and simplify: So, we know that a=-4. Since $\"x+=+4%2F4+-+-4%2Aa%2F4\"$ , x=-3.
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\n" ); document.write( " Answer: $\"system%28+x=-3%2C+a=-4+%29\"$ .
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\n" ); document.write( "\n" ); document.write( "Hope this helps! \n" ); document.write( "

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