document.write( "Question 185247: Please help me with this problem as soon as possible Thank You
\n" ); document.write( "Solve the system of equations
\n" ); document.write( "8x-y+z=34
\n" ); document.write( "3x + 2y - 3z=-15
\n" ); document.write( "x-3y+2z=29
\n" ); document.write( "Type an exact answer in simpliest form
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Algebra.Com's Answer #139055 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve the system of equations
\n" ); document.write( "8x - y + z = 34
\n" ); document.write( "3x +2y -3z =-15
\n" ); document.write( " x -3y +2z = 29
\n" ); document.write( "Type an exact answer in simpliest form
\n" ); document.write( ":
\n" ); document.write( "8x - y + z = 34
\n" ); document.write( "3x +2y -3z =-15
\n" ); document.write( " x -3y +2z = 29
\n" ); document.write( "-------------------adding the 3 equation will eliminate z
\n" ); document.write( "12x - 2y = 48
\n" ); document.write( "Simplify, divide 2:
\n" ); document.write( "6x - y = 24
\n" ); document.write( ":
\n" ); document.write( "multiply the 1st by 3, add to the 2nd equation
\n" ); document.write( "24x - 3y + 3z = 102
\n" ); document.write( " 3x + 2y - 3z = -15
\n" ); document.write( "-------------------------adding eliminate z again
\n" ); document.write( "27x - y = 87
\n" ); document.write( ":
\n" ); document.write( "Subtract (6x - y = 24) from the above equation
\n" ); document.write( "27x - y = 87
\n" ); document.write( " 6x - y = 24
\n" ); document.write( "-------------
\n" ); document.write( "21x = 63
\n" ); document.write( "x = \"63%2F21\"
\n" ); document.write( "x = 3
\n" ); document.write( ":
\n" ); document.write( "Find y using 6x - y = 24
\n" ); document.write( "6(3) - y = 24
\n" ); document.write( "18 - y = 24
\n" ); document.write( "-y = 24 - 18
\n" ); document.write( "-y = +6
\n" ); document.write( "y = -6
\n" ); document.write( ":
\n" ); document.write( "Find z using the 3rd equation
\n" ); document.write( "x -3y + 2z = 29
\n" ); document.write( "3 - 3(-6) + 2z = 29
\n" ); document.write( "3 + 18 + 2z = 29
\n" ); document.write( "2z = 29 - 21
\n" ); document.write( "2z = 8
\n" ); document.write( "z = \"8%2F2\"
\n" ); document.write( "z = +4
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\n" ); document.write( "Check solution in the 2nd equation:
\n" ); document.write( "3x +2y -3z =-15
\n" ); document.write( "3(3) = 2(-6) - 3(4) = -15
\n" ); document.write( "9 - 12 - 12 = -15; confirms our solutions
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