document.write( "Question 981089: -3x+3y–3z=6
\n" ); document.write( "-x+y+z= -10
\n" ); document.write( "-x–3y–z=-14\r
\n" ); document.write( "\n" ); document.write( "solve a system of equations in 3 variables using elimination \n" ); document.write( "
Algebra.Com's Answer #602116 by stanbon(75887)\"\" \"About 
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-3x+3y–3z=6
\n" ); document.write( "-x+y+z= -10
\n" ); document.write( "-x–3y–z=-14
\n" ); document.write( "solve a system of equations in 3 variables using elimination
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\n" ); document.write( "Simplify the top equation to get:
\n" ); document.write( "x - y + z = -2
\n" ); document.write( "-x + y + z = -10
\n" ); document.write( "-x -3y - z = -14
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\n" ); document.write( "Add the 1st row to the 2nd
\n" ); document.write( "Add the 1st row to the 3rd
\n" ); document.write( "x - y + z = -2
\n" ); document.write( "0 + 0 +2z = -12
\n" ); document.write( "0 -4y + 0 = -16
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\n" ); document.write( "Solve the 2nd row for \"z\":
\n" ); document.write( "Solve the 3rd row for \"y\":
\n" ); document.write( "z = -6
\n" ); document.write( "y = 4
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\n" ); document.write( "Solve the 1st row for \"x\"::
\n" ); document.write( "x -4 -6 = -2
\n" ); document.write( "x = 8
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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