document.write( "Question 770111: 3x+2y-2z=14
\n" ); document.write( "2x-5y+3z=7
\n" ); document.write( "4x-3y+7z=5 \n" ); document.write( "
Algebra.Com's Answer #469306 by Cromlix(4381)\"\" \"About 
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3x+2y-2z=14....(1)
\n" ); document.write( "2x-5y+3z=7.....(2)
\n" ); document.write( "4x-3y+7z=5.....(3)
\n" ); document.write( "Multiply (1) by 2
\n" ); document.write( "Multiply (2) by 3
\n" ); document.write( "6x + 4y - 4z = 28....(1)
\n" ); document.write( "6x - 15y +9z = 21.....(2)
\n" ); document.write( "Subtract:
\n" ); document.write( " 19y - 13z = 7 Equation A
\n" ); document.write( "Multiply (2) by 2
\n" ); document.write( "4x - 10y + 6z = 14....(2)
\n" ); document.write( "Subtract (3)
\n" ); document.write( "4x - 10y + 6z = 14....(2)
\n" ); document.write( "4x - 3y + 7z = 5......(3)
\n" ); document.write( "Subtract
\n" ); document.write( " -7y - z = 9 Equation B
\n" ); document.write( "......................
\n" ); document.write( "Consider Equations A and B
\n" ); document.write( "19y - 13z = 7.....(A)
\n" ); document.write( "-7y - z = 9.....(B)
\n" ); document.write( "Multiply (B) by 13 and
\n" ); document.write( "subtract from (A)
\n" ); document.write( "19y - 13z = 7.....(A)
\n" ); document.write( "-91y - 13z = 117...(B)
\n" ); document.write( "110y = -110
\n" ); document.write( " y = -1.
\n" ); document.write( "Substitute y = -1 into
\n" ); document.write( "Equation A
\n" ); document.write( "19y - 13z = 7.....(A)
\n" ); document.write( "19(-1) - 13z = 7
\n" ); document.write( "-19 - 13z = 7
\n" ); document.write( " -13z = 7 + 19
\n" ); document.write( " -13z = 26
\n" ); document.write( " z = -2
\n" ); document.write( "..................
\n" ); document.write( "Substituting y = -1 and z = -2
\n" ); document.write( "into Equation 1
\n" ); document.write( "3x+2y-2z=14....(1)
\n" ); document.write( "3x + 2(-1)-2(-2) = 14
\n" ); document.write( "3x -2 + 4 = 14
\n" ); document.write( "3x = 14 - 2
\n" ); document.write( "3x = 12
\n" ); document.write( "x = 4.\r
\n" ); document.write( "\n" ); document.write( "x = 4, y = -1, z = -2
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-) \n" ); document.write( "
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