document.write( "Question 1165129: 2x+2y−3z = -6
\n" ); document.write( "x+6y−4z = -23
\n" ); document.write( "3x+y-4z= −2
\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #789605 by Alan3354(69443) $\"\"$ $\"About$

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2x+2y−3z = -6
\n" ); document.write( "x+6y−4z = -23
\n" ); document.write( "3x+y-4z= −2
\n" ); document.write( "-------------------
\n" ); document.write( "Eliminate y terms.
\n" ); document.write( "---
\n" ); document.write( "

\r\n" );
document.write( " 6x + 6y − 9z = -18  Eqn 1 times 3\r\n" );
document.write( "  x + 6y − 4z = -23\r\n" );
document.write( "18x + 6y - 24z= −12  Eqn 3 time 6\r\n" );
document.write( "---\r\n" );
document.write( " 6x + 6y − 9z = -18  Eqn 1 times 3\r\n" );
document.write( "  x + 6y − 4z = -23\r\n" );
document.write( "-------------------------------- Subtract\r\n" );
document.write( "5x - 5z = 5\r\n" );
document.write( "==================\r\n" );
document.write( "  x + 6y − 4z = -23\r\n" );
document.write( "18x + 6y - 24z= −12  Eqn 3 time 6\r\n" );
document.write( "------------------------------------Subtract\r\n" );
document.write( "-17x + 20z = -11\r\n" );
document.write( "5x - 5z = 5 ---> x = z+5\r\n" );
document.write( "

\n" ); document.write( "Sub for x
\n" ); document.write( "-17(z-5) + 20z = -11
\n" ); document.write( "3z + 85 = -11
\n" ); document.write( "3z = -96
\n" ); document.write( "z = -32
\n" ); document.write( "==================
\n" ); document.write( "x = -27
\n" ); document.write( "-------
\n" ); document.write( "2x+2y−3z = -6
\n" ); document.write( "-54 + 2y + 96 = -6
\n" ); document.write( "2y = -48
\n" ); document.write( "y = -24
\n" ); document.write( "--------
\n" ); document.write( "(-27,-24,-32)
\n" ); document.write( " \n" ); document.write( "

\n" );