document.write( "Question 1134190: x+2y-z=3
\n" ); document.write( "2x-y+z=22
\n" ); document.write( "x+3y-z=4\r
\n" ); document.write( "\n" ); document.write( "x,y,z \n" ); document.write( "

Algebra.Com's Answer #751475 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"x%2B2y-z=3\"$ .....eq.1
\n" ); document.write( " $\"2x-y%2Bz=22\"$ ....eq.2
\n" ); document.write( " $\"x%2B3y-z=4+\"$ .....eq.3\r
\n" ); document.write( "\n" ); document.write( "start with\r
\n" ); document.write( "\n" ); document.write( " $\"x%2B2y-z=3\"$ .....eq.1
\n" ); document.write( " $\"x%2B3y-z=4+\"$ .....eq.3
\n" ); document.write( "---------------------------------subtract
\n" ); document.write( " $\"x%2B2y-z-%28x%2B3y-z%29=3-4\"$
\n" ); document.write( " $\"x%2B2y-z-x-3y%2Bz=-1\"$
\n" ); document.write( " $\"cross%28x%29%2B2y-cross%28z%29-cross%28x%29-3y%2Bcross%28z%29=-1\"$
\n" ); document.write( " $\"2y-3y=-1\"$
\n" ); document.write( " $\"-y=-1\"$
\n" ); document.write( " $\"highlight%28y=1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x-y%2Bz=22\"$ ....eq.2.... plug in $\"y=1\"$
\n" ); document.write( " $\"2x-1%2Bz=22\"$
\n" ); document.write( " $\"2x%2Bz=23\"$ ........solve for $\"z\"$
\n" ); document.write( " $\"z=-2x%2B23\"$ ........eq.2a\r
\n" ); document.write( "\n" ); document.write( " $\"x%2B3y-z=4+\"$ .....eq.3...plug in $\"y=1\"$
\n" ); document.write( " $\"x%2B3%2A1-z=4+\"$
\n" ); document.write( " $\"x%2B3-z=4+\"$ .....solve for $\"z\"$
\n" ); document.write( " $\"x%2B3-4=z+\"$
\n" ); document.write( " $\"z=x-1+\"$ ....eq.3a\r
\n" ); document.write( "\n" ); document.write( "from eq.2a and eq.3a we have\r
\n" ); document.write( "\n" ); document.write( " $\"x-1=-2x%2B23\"$
\n" ); document.write( " $\"x%2B2x=23%2B1\"$
\n" ); document.write( " $\"3x=24\"$
\n" ); document.write( " $\"highlight%28x=8%29\"$ \r
\n" ); document.write( "\n" ); document.write( "go to $\"z=x-1+\"$ ....eq.3a plug in $\"x\"$ value\r
\n" ); document.write( "\n" ); document.write( " $\"z=8-1+\"$
\n" ); document.write( " $\"highlight%28z=7%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions: $\"highlight%288%29\"$ , $\"highlight%281%29\"$ , $\"highlight%287%29+\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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