document.write( "Question 258715: 2x-y=8
\n" ); document.write( "x-6y-z=0
\n" ); document.write( "-6x+3y-9z+24
\n" ); document.write( "show solution of equation
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #190454 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the first equation to solve for y.
\n" ); document.write( " $\"2x-y=8\"$
\n" ); document.write( " $\"y=2x-8\"$
\n" ); document.write( "Now substitute into eq.2 and 3 for y.
\n" ); document.write( " $\"x-6y-z=0+\"$
\n" ); document.write( " $\"x-6%282x-8%29-z=0\"$
\n" ); document.write( " $\"x-12x%2B48-z=0\"$
\n" ); document.write( " $\"-11x-z=-48\"$
\n" ); document.write( " $\"11x%2Bz=48\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "I assume it should be \"=24\"?
\n" ); document.write( " $\"-6x%2B3y-9z=24+\"$
\n" ); document.write( " $\"-6x%2B3%282x-8%29-9z=24\"$
\n" ); document.write( " $\"-6x%2B6x-24-9z=24\"$
\n" ); document.write( " $\"-9z=48\"$
\n" ); document.write( " $\"highlight%28+z=-16%2F3%29\"$
\n" ); document.write( "Now go back and substitute to find x and then y.
\n" ); document.write( " $\"11x%2Bz=48\"$
\n" ); document.write( " $\"11x-%2816%2F3%29=48\"$
\n" ); document.write( " $\"33x-16=144\"$
\n" ); document.write( " $\"33x=160\"$
\n" ); document.write( " $\"highlight%28+x=160%2F33%29\"$
\n" ); document.write( "and then
\n" ); document.write( " $\"y=2x-8\"$
\n" ); document.write( " $\"y=2%28160%2F33%29-8\"$
\n" ); document.write( " $\"y=320%2F33-264%2F33\"$
\n" ); document.write( " $\"highlight%28+y=56%2F33%29\"$ \n" ); document.write( "

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