document.write( "Question 237350: Solve the system using any algebraic method.
\n" ); document.write( "x+2y-6z=23
\n" ); document.write( "x+3y+z=4
\n" ); document.write( "2x+5y-4z=24 \n" ); document.write( "
Algebra.Com's Answer #174552 by ankor@dixie-net.com(22740)\"\" \"About 
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Solve the system using any algebraic method.
\n" ); document.write( "x + 2y -6z = 23
\n" ); document.write( "x + 3y + z = 4
\n" ); document.write( "2x+ 5y -4z = 24
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st two equations by -1 to change the signs
\n" ); document.write( "-x - 2y +6z = -23
\n" ); document.write( "-x - 3y - z = -4
\n" ); document.write( "2x + 5y -4z = 24
\n" ); document.write( "---------------------addition eliminates x and y, find z
\n" ); document.write( "0x + 0y + z = -3
\n" ); document.write( "z = -3
\n" ); document.write( ":
\n" ); document.write( "replace z with -3 in the 1st two equations
\n" ); document.write( "x + 2y -6(-3)=23
\n" ); document.write( "x + 3y - 3 = 4
\n" ); document.write( ":
\n" ); document.write( "x + 2y +18 = 23
\n" ); document.write( "x + 3y -3 = 4
\n" ); document.write( ":
\n" ); document.write( "x + 2y = 23 - 18
\n" ); document.write( "x + 3y = 4 + 3
\n" ); document.write( ":
\n" ); document.write( "x + 2y = 5
\n" ); document.write( "x + 3y = 7
\n" ); document.write( "----------------subtraction eliminates x find y
\n" ); document.write( "0x -y = -2
\n" ); document.write( "therefore
\n" ); document.write( "+y = +2
\n" ); document.write( ":
\n" ); document.write( "You should be able to find x by yourself now \n" ); document.write( "
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