document.write( "Question 1082672: 2x+2y-z=10
\n" ); document.write( "X+y+z=11
\n" ); document.write( "2x+y+-z=7
\n" ); document.write( "So x,y,and z =?
\n" ); document.write( "

Algebra.Com's Answer #696761 by Alan3354(69443)\"\" \"About 
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2x+2y-z=10
\n" ); document.write( "X+y+z=11
\n" ); document.write( "2x+y+-z=7
\n" ); document.write( "-----------
\n" ); document.write( "Since all z terms have a coefficient of 1, I would use elimination.
\n" ); document.write( "---
\n" ); document.write( "Add Eqn 1 and 2:
\n" ); document.write( "2x+2y-z=10
\n" ); document.write( "X+y+z=11
\n" ); document.write( "------------------- Add
\n" ); document.write( "2x + 3y = 21 Eqn A
\n" ); document.write( "---
\n" ); document.write( "Add Eqn 2 & 3
\n" ); document.write( "X+y+z=11
\n" ); document.write( "2x+y+-z=7
\n" ); document.write( "-------------- Add
\n" ); document.write( "3x + 2y = 18 Eqn B
\n" ); document.write( "---
\n" ); document.write( "4x + 6y = 42 Eqn A times 2
\n" ); document.write( "9x + 6y = 54 Eqn B times 3
\n" ); document.write( "---------------------------------- Subtract
\n" ); document.write( "-5x = -12
\n" ); document.write( "x = 12/5
\n" ); document.write( "----------
\n" ); document.write( "Sub for x in Eqn A or B to find y
\n" ); document.write( "Sub for x & y in any Eqn to find z
\n" ); document.write( "
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