document.write( "Question 1027945: Please help me solve the following for x, y, and z. and please show the work.\r
\n" ); document.write( "\n" ); document.write( "3x+2y+z=8
\n" ); document.write( "2x-3y+2z=-16
\n" ); document.write( "x+4y-z=20 \n" ); document.write( "

Algebra.Com's Answer #643124 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Please help me solve the following for x, y, and z. and please show the work.\r
\n" ); document.write( "\n" ); document.write( "3x+2y+z=8
\n" ); document.write( "2x-3y+2z=-16
\n" ); document.write( "x+4y-z=20
\n" ); document.write( "

3x + 2y +  z =    8 ------ eq (i)
\n" );
document.write( "2x – 3y + 2z = - 16 ------ eq (ii)
\n" );
document.write( " x + 4y –  z =   20 ------ eq (iii)
\n" );
document.write( "4x + 6y = 28 ---------- Adding eqs (i) & (iii) ------- eq (iv)
\n" );
document.write( "2x + 8y – 2z = 40 ----- Multiplying eq (iii) by 2 ---- eq (v)
\n" );
document.write( "4x + 5y = 24 ---------- Adding eqs (v) & (ii) -------- eq (vi)
\n" );
document.write( " -------- Subtracting eq (vi) from eq (iv)\r
\n" );
document.write( "\n" );
document.write( "4x + 6(4) = 28 -------- Substituting 4 for y in eq (iv)
\n" );
document.write( "4x + 24 = 28
\n" );
document.write( "4x = 4
\n" );
document.write( "x = , or \r
\n" );
document.write( "\n" );
document.write( "1 + 4(4) – z = 20 --------- Substituting 1 for x and 4 for y in eq (iii)
\n" );
document.write( "1 + 16 – z = 20
\n" );
document.write( "17 – z = 20
\n" );
document.write( "- z = 20 – 17
\n" );
document.write( "z = , or  \n" );
document.write( "

\n" );