document.write( "Question 1058261: Please help me solve this 3 variable system:
\n" ); document.write( "x+y+z=8
\n" ); document.write( "x-y/3+(4/3)z=7
\n" ); document.write( "3z-3y-2x=7\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #673329 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Please help me solve this 3 variable system:
\n" ); document.write( "x+y+z=8
\n" ); document.write( "x-y/3+(4/3)z=7
\n" ); document.write( "3z-3y-2x=7
\n" ); document.write( "

x + y + z = 8 -------- eq (i)
\n" );
document.write( " ------ eq (ii)
\n" );
document.write( "3z - 3y - 2x = 7_____- 2x - 3y + 3z = 7 ----- eq (iii)
\n" );
document.write( "3x + 3y + 3z = 24 ---- Multiplying eq (i) by 3 ------- eq (iv)
\n" );
document.write( "3x - y + 4z = 21 ----- Multiplying eq (ii) by 3 ------ eq (v)
\n" );
document.write( "   x  + 6z = 31 ------ Adding eqs (iii) & (iv) ------- eq (vi)
\n" );
document.write( "  4x  + 5z = 29 ------ Adding eqs (i) & (v) ---------- eq (vii)
\n" );
document.write( "- 4x - 24z = - 124 --- Multiplying eq (vi) by - 4 ---- eq (viii)
\n" );
document.write( "- 19z = - 95 --------- Adding eqs (viii) & (vii)
\n" );
document.write( "\r
\n" );
document.write( "\n" );
document.write( "x + 6(5) = 31 ----- Substituting 5 for z in eq (vi)
\n" );
document.write( "x + 30 = 31
\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( "1 + y + 5 = 8 ------ Substituting 1 for x, and 5 for z in eq (i)
\n" );
document.write( "6 + y = 8
\n" );
document.write( " \n" );
document.write( "

\n" );