document.write( "Question 768657: Solve the following system of equations for the uknown variables.
\n" ); document.write( "3x+3y=3
\n" ); document.write( "-3x-2z=-11
\n" ); document.write( "Y+z=-1 \n" ); document.write( "

Algebra.Com's Answer #468472 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
3x + 3y = 3
\n" ); document.write( "-3x- 2z =-11
\n" ); document.write( "Y + z = -1
\n" ); document.write( ":
\n" ); document.write( "Rewrite this to
\n" ); document.write( "3x + 3y + 0z = 3
\n" ); document.write( "-3x+ 0y - 2z =-11
\n" ); document.write( "0x + Y + z = -1
\n" ); document.write( ":
\n" ); document.write( "Add the first two equations
\n" ); document.write( "3x + 3y + 0z = 3
\n" ); document.write( "-3x+ 0y - 2z =-11
\n" ); document.write( "------------------ eliminates x
\n" ); document.write( "3y - 2z = -8
\n" ); document.write( ":
\n" ); document.write( "Multiply the 3rd equation by 2, add to the above equation
\n" ); document.write( "2y + 2z = -2
\n" ); document.write( "3y - 2z = -8
\n" ); document.write( "---------------
\n" ); document.write( "5y = -10
\n" ); document.write( "y = -10/5
\n" ); document.write( "y = -2
\n" ); document.write( ":
\n" ); document.write( "Find z using the 3rd equation
\n" ); document.write( "-2 + z = -1
\n" ); document.write( "z = -1 + 2
\n" ); document.write( "z = 1
\n" ); document.write( ";
\n" ); document.write( "You can find x using the 1st equation (replace y with -2) \n" ); document.write( "

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