document.write( "Question 709505: *Solving systems of Linear Equations in Three Variables by Elimination*\r
\n" ); document.write( "\n" ); document.write( "does anyone know how to solve x,y,z equations for x and explain?!\r
\n" ); document.write( "\n" ); document.write( "2x + y + z = 0
\n" ); document.write( "3x - y + z = 3
\n" ); document.write( "7x - 5y - 3z = 15
\n" ); document.write( "thanks!
\n" ); document.write( "

Algebra.Com's Answer #436613 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
solve x,y,z equations for x and explain?!
\n" ); document.write( "2x + y + z = 0
\n" ); document.write( "3x - y + z = 3
\n" ); document.write( "7x - 5y - 3z = 15
\n" ); document.write( "-------
\n" ); document.write( "Setting up:
\n" ); document.write( "Subtract 1st row from 2nd and make the difference the 1st row:
\n" ); document.write( "x - 2y + 0 = 3
\n" ); document.write( "2x + y + z = 0
\n" ); document.write( "7x - 5y - 3z = 15
\n" ); document.write( "------------------------------
\n" ); document.write( "Subtract 2*1st row from 2nd row
\n" ); document.write( "Subtract 7*1st row from 3rd row
\n" ); document.write( "-------------------
\n" ); document.write( "x - 2y + 0 = 3
\n" ); document.write( "0 + 5y + z = -6
\n" ); document.write( "0 + 9y -3z = -6
\n" ); document.write( "-------
\n" ); document.write( "Solve equations 2 and 3 for y and z:
\n" ); document.write( "5y + z = -6
\n" ); document.write( "3y - z = -2
\n" ); document.write( "-----
\n" ); document.write( "Add and solve for \"y\":
\n" ); document.write( "8y = -8
\n" ); document.write( "y = -1
\n" ); document.write( "---
\n" ); document.write( "Solve for \"z\" using 3y-z = -2
\n" ); document.write( "3*-1 -z = -2
\n" ); document.write( "z = -1
\n" ); document.write( "-----
\n" ); document.write( "Solve for \"x\" using
\n" ); document.write( "2x + y + z = 0
\n" ); document.write( "2x + -1 + -1 = 0
\n" ); document.write( "x = 1
\n" ); document.write( "=========================
\n" ); document.write( "Solution:
\n" ); document.write( "x = 1
\n" ); document.write( "y = -1
\n" ); document.write( "z = -1
\n" ); document.write( "==============================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "==============================
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