SOLUTION: Solve the following system of equations. what is the value of z? x+y+z=1 2x-y+3z=-7 3x+2y+2z=4

Algebra ->  Systems-of-equations -> SOLUTION: Solve the following system of equations. what is the value of z? x+y+z=1 2x-y+3z=-7 3x+2y+2z=4      Log On


   

Question 152085: Solve the following system of equations. what is the value of z?
x+y+z=1
2x-y+3z=-7
3x+2y+2z=4
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
adding 1st eqn and 2nd eqn __ 3x+4z=-6 __ multiplying by 2 __ 6x+8z=-12

multiplying 2nd eqn by 2 and adding 3rd eqn __ 7x+8z=-10

subtracting eqns __ x=2

substituting __ 6(2)+8z=-12 __ subtracting 12 __ 8z=-24 __ z=-3

substituting __ (2)+y+(-3)=1 __ adding 1 __ y=2