document.write( "Question 92859This question is from textbook Finite Mathematics
\n" ); document.write( ": The soultion to the system of equations below is: x+2y-z=-3, 2x-y+3z=14, x+4y-2z=8 \n" ); document.write( "
Algebra.Com's Answer #67775 by ankor@dixie-net.com(22740)\"\" \"About 
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The soultion to the system of equations below is:
\n" ); document.write( "Eq1: x + 2y - z =-3,
\n" ); document.write( "Eq2:2x - y + 3z =14,
\n" ); document.write( "Eq3: x +4y - 2z = 8
\n" ); document.write( ":
\n" ); document.write( "Multiply eq1 by -2 and add to eq3
\n" ); document.write( "-2x - 4y + 2z = 6
\n" ); document.write( " x + 4y - 2z = 8
\n" ); document.write( "-------------------adding eliminates y & z
\n" ); document.write( " -x +0y + 0z = 14
\n" ); document.write( "x = -14
\n" ); document.write( ":
\n" ); document.write( "Add all three equations, eliminates z
\n" ); document.write( " x + 2y - z =-3,
\n" ); document.write( "2x - y + 3z =14,
\n" ); document.write( " x +4y - 2z = 8
\n" ); document.write( "--------------------
\n" ); document.write( "4x + 5y + 0z = 19
\n" ); document.write( "4x + 5y = 19
\n" ); document.write( ":
\n" ); document.write( "x = -14, substitute -14 for x in the above and find
\n" ); document.write( "4(-14) + 5y = 19
\n" ); document.write( "-56 = 5y = 19
\n" ); document.write( "5y = 19 + 56
\n" ); document.write( "5y = 75
\n" ); document.write( "y = 75/5
\n" ); document.write( "y = +15
\n" ); document.write( ":
\n" ); document.write( "I'll let you find z; check solutions in one of the original equations
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