document.write( "Question 798952: How do I solve this ordered triple system of equations?
\n" ); document.write( "3x-2y+3z=-27 (1)
\n" ); document.write( "4x+y-2z=5 (2)
\n" ); document.write( "2x+4y-z=13 (3) \n" ); document.write( "
Algebra.Com's Answer #482421 by Finavon(81)\"\" \"About 
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(2) - 2*(3) gives
\n" ); document.write( "4x+y-2z -2*(2x+4y-z) = 5 -2*13
\n" ); document.write( "4x+y-2z-4x-8y+2z=5-26
\n" ); document.write( "-7y=-21
\n" ); document.write( "so y=3\r
\n" ); document.write( "\n" ); document.write( "(1) + 3*(3) gives
\n" ); document.write( "3x-2y+3z +3*(2x+4y-z) =-27 +3*13
\n" ); document.write( "3x-2y+3z+6x+12y-3z=-27+39
\n" ); document.write( "9x+10y=12 but y=3
\n" ); document.write( "so 9x+30=12
\n" ); document.write( "and 9x = 12 - 30 = -18
\n" ); document.write( "so x=-2\r
\n" ); document.write( "\n" ); document.write( "put these values in (3)
\n" ); document.write( "2*(-2) + 4*3 -z = 13
\n" ); document.write( "add (z-13) to both sides
\n" ); document.write( "-4 + 12 -z +z-13 = 13+ z-13
\n" ); document.write( "-5 = z
\n" ); document.write( "x= -2; y= 3 ; z= -5
\n" ); document.write( "Check:
\n" ); document.write( "3*(-2) -2*3 + 3*(-5) = -6-6-15 = -27
\n" ); document.write( "4*(-2) +3 -2*(-5)= -8+3+10 = 5
\n" ); document.write( "2*(-2) +4*3 -(-5)= -4+12+5 = 13 \n" ); document.write( "
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