document.write( "Question 1054228: Solve the following set of equations by using Gauss Elimination Method.
\n" ); document.write( "2x+3y+4z = 12
\n" ); document.write( "3x+y+z = 4
\n" ); document.write( "x+4y+z = 5
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #669434 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Multiply eq. 3 by 2 and subtract from eq. 1,
\n" ); document.write( " $\"2x%2B3y%2B4z-2x-8y-2z=12-10\"$
\n" ); document.write( "4. $\"-5y%2B2z=2\"$
\n" ); document.write( "Multiply eq. 3 by 3 and subtract from eq. 2,
\n" ); document.write( " $\"3x%2By%2Bz-3x-12y-3z=4-15\"$
\n" ); document.write( "5. $\"+-11y-2z=-11\"$
\n" ); document.write( "Add eqs. 4 and 5,
\n" ); document.write( " $\"-5y%2B2z-11y-2z=2-11\"$
\n" ); document.write( " $\"-16y=-9\"$
\n" ); document.write( " $\"y=9%2F16\"$
\n" ); document.write( "So then working backwards,
\n" ); document.write( " $\"-5%289%2F16%29%2B2z=2\"$
\n" ); document.write( " $\"-45%2F16%2B2z=2\"$
\n" ); document.write( " $\"2z=32%2F16%2B45%2F16\"$
\n" ); document.write( " $\"2z=77%2F16\"$
\n" ); document.write( " $\"z=77%2F32\"$
\n" ); document.write( "and finally,
\n" ); document.write( " $\"x%2B4%289%2F16%29%2B77%2F32=5\"$
\n" ); document.write( " $\"x%2B36%2F16%2B77%2F32=160%2F32\"$
\n" ); document.write( " $\"x=160%2F32-72%2F16-77%2F32\"$
\n" ); document.write( " $\"x=11%2F32\"$ \n" ); document.write( "

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