SOLUTION: Solve the system of equations given: x+3z=12, -x-2y+z=10, 3x+5y+2z=-7 ... the answer in came up with is x+y=5-2z.

Question 979868: Solve the system of equations given: x+3z=12, -x-2y+z=10, 3x+5y+2z=-7 ... the answer in came up with is x+y=5-2z.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve the system of equations given: x+3z=12, -x-2y+z=10, 3x+5y+2z=-7 ... the answer in came up with is x+y=5-2z.
----------
Solve the system means find values of x, y & z.
As in:
x =
y =
z =
----------
x+3z=12
-x-2y+z=10
3x+5y+2z=-7
----------
The 1st eqn has no y term, so eliminate y by combining Eqns 2 & 3.
-x-2y+z=10 times 5 --> -5x - 10y + 5z = 50
3x+5y+2z=-7 times 2 --> 6x + 10y + 4z = -14
-----
-5x - 10y + 5z = 50
+6x + 10y + 4z = -14
------------------------------ Add
x + 9z = 36
x + 3z = 12
--------------- Subtract
6z = 24
z = 4 ********************
x + 3z = 12
x = 0 ****************
y = -3 **************

RELATED QUESTIONS
Solve the system of equations given below X+ 3z=12 -x -2y+z=10... (answered by stanbon)

Solve the system of equations step by step? x-2y+3z=-7 4x+5y+z=4... (answered by scott8148)

1.Solve the system of equations. x-2y+3z=7 2x+y+z=4... (answered by MathLover1,MathTherapy)

Solve the system of equations using matrices. 3x - 2y + z = -7 x + y - 2z = 12 3x + y... (answered by venugopalramana)

Can you help me solve the system of equations using matrices: x-2y+3z=7 2x+y+z=5... (answered by Jk22)

solve the system x+y+z=-1 x-y+3z=-17 2x+y+z=-2 Solve the system x-y+2z=7... (answered by solver91311)

Solve the system 2x-4y-2z=12 x-y+z=7... (answered by kekegeter )

Solve the following system of equations. what is the value of z? x+y+z=1 2x-y+3z=-7... (answered by scott8148)

additional assistance requested in understanding how to get a solution solve the... (answered by richwmiller)