SOLUTION: 5x+2y=14 Y-6z=-15 X+2y+z=0

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Question 1054913: 5x+2y=14
Y-6z=-15
X+2y+z=0
Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
5x+2y=14
Y-6z=-15 --> y = 6z - 15
X+2y+z=0
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Sub for y in eqns 1 & 3
----
5x+2y=14
5x + 2(6z-15) = 14
5x + 12z = 44 Eqn A
----
X+2y+z=0
x + 12z-30 + 12z = 0
x + 24z = 30
5x + 120z = 150 (times 5)
5x + 12z = 44 Eqn A
------------------------------------- Subtract
108z = 106
z = 53/54
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Solve for y.
Solve for x.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
5x+2y=14
Y-6z=-15
X+2y+z=0
If x = X, and y = Y, then: