document.write( "Question 1130604: Solve the system of equations. (If the system is dependent, enter a general solution in terms of c
\n" ); document.write( "{2x− y+ z = 12
\n" ); document.write( " 2y− 3z= −16
\n" ); document.write( " 3y + 2z= 2
\n" ); document.write( "(x, y, z) = \n" ); document.write( "
Algebra.Com's Answer #747316 by ankor@dixie-net.com(22740)\"\" \"About 
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Solve the system of equations. (If the system is dependent, enter a general solution in terms of c
\n" ); document.write( "2x− y+ z = 12
\n" ); document.write( "2y − 3z = −16
\n" ); document.write( "3y + 2z = 2
\n" ); document.write( "(x, y, z) =
\n" ); document.write( ":
\n" ); document.write( "Let's just deal with the last two equations
\n" ); document.write( "2y - 3z = -16
\n" ); document.write( "3y + 2z = 2
\n" ); document.write( "Use elimination, multiply the 1st eq by 2, the 2nd eq by 3
\n" ); document.write( "4y - 6z = -32
\n" ); document.write( "9y + 6z = 6
\n" ); document.write( "--------------addition eliminates z, find y
\n" ); document.write( "13y = -26
\n" ); document.write( "y = -26/13
\n" ); document.write( "y = -2
\n" ); document.write( "Find z using the 3rd equation
\n" ); document.write( "3(-2) + 2z = 2
\n" ); document.write( "-6 + 2z = 2
\n" ); document.write( "2z = 2 + 6
\n" ); document.write( "2z = 8
\n" ); document.write( "z = 8/2
\n" ); document.write( "z = 4
\n" ); document.write( "Find x using first original equation
\n" ); document.write( "2x - y + z = 12
\n" ); document.write( "y=-2, z=4
\n" ); document.write( "2x - (-2) + 4 = 12
\n" ); document.write( "2x + 2 + 4 = 12
\n" ); document.write( "2x = 12 - 6
\n" ); document.write( "2x = 6
\n" ); document.write( "x = 3
\n" ); document.write( "therefore we have x=3, y=-2, z= 4 \n" ); document.write( "
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