document.write( "Question 979868: Solve the system of equations given: x+3z=12, -x-2y+z=10, 3x+5y+2z=-7 ... the answer in came up with is x+y=5-2z. \n" ); document.write( "
Algebra.Com's Answer #601114 by Alan3354(69443)\"\" \"About 
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Solve the system of equations given: x+3z=12, -x-2y+z=10, 3x+5y+2z=-7 ... the answer in came up with is x+y=5-2z.
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\n" ); document.write( "Solve the system means find values of x, y & z.
\n" ); document.write( "As in:
\n" ); document.write( "x =
\n" ); document.write( "y =
\n" ); document.write( "z =
\n" ); document.write( "----------
\n" ); document.write( "x+3z=12
\n" ); document.write( "-x-2y+z=10
\n" ); document.write( "3x+5y+2z=-7
\n" ); document.write( "----------
\n" ); document.write( "The 1st eqn has no y term, so eliminate y by combining Eqns 2 & 3.
\n" ); document.write( "-x-2y+z=10 times 5 --> -5x - 10y + 5z = 50
\n" ); document.write( "3x+5y+2z=-7 times 2 --> 6x + 10y + 4z = -14
\n" ); document.write( "-----
\n" ); document.write( "-5x - 10y + 5z = 50
\n" ); document.write( "+6x + 10y + 4z = -14
\n" ); document.write( "------------------------------ Add
\n" ); document.write( "x + 9z = 36
\n" ); document.write( "x + 3z = 12
\n" ); document.write( "--------------- Subtract
\n" ); document.write( "6z = 24
\n" ); document.write( "z = 4 ********************
\n" ); document.write( "x + 3z = 12
\n" ); document.write( "x = 0 ****************
\n" ); document.write( "y = -3 **************\r
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\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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