document.write( "Question 861227: What is the solution to x=1/2y+3 and 2x-y=6? \n" ); document.write( "

Algebra.Com's Answer #518908 by ben720(159) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x-1%2F2%2Ay=3\"$ , $\"2x-y=6\"$
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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
\n" ); document.write( " $\"+system%28+%0D%0A++++1%5Cx+%2B+-0.5%5Cy+=+3%2C%0D%0A++++2%5Cx+%2B+-1%5Cy+=+6+%29%0D%0A++\"$ We'll use substitution. After moving -0.5*y to the right, we get:
\n" ); document.write( " $\"1%2Ax+=+3+-+-0.5%2Ay\"$ , or $\"x+=+3%2F1+-+-0.5%2Ay%2F1\"$ . Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " $\"2%2A%283%2F1+-+-0.5%2Ay%2F1%29+%2B+-1%5Cy+=+6\"$ and simplify: So, we know that y=0=0. Since $\"x+=+3%2F1+-+-0.5%2Ay%2F1\"$ , x=3.
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\n" ); document.write( " Answer: $\"system%28+x=3%2C+y=0=0+%29\"$ .
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