SOLUTION: x+y+2z=8 x+y+5z=11 x+6y+4z=30 what is the ordered triple set/solutions?

Algebra ->  Systems-of-equations -> SOLUTION: x+y+2z=8 x+y+5z=11 x+6y+4z=30 what is the ordered triple set/solutions?      Log On


   



Question 201239: x+y+2z=8
x+y+5z=11
x+6y+4z=30 what is the ordered triple set/solutions?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the ordered triple set/solutions?
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x+y+2z=8
x+y+5z=11
x+6y+4z=30
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Subtract the 1st from the 2nd to get:
Subtract the 1st from the 3rd to get:
x+y+2z=8
0+0+3z=3
0+5y+2z=22
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Solve the 2nd to get z = 1
Substitute into the 3rd to get
0+5y+2 = 22
5y = 20
y = 4
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Substitute into 1st to get:
x+4+2=8
x = 2
--------------
Solution:
x = 2
y = 4
z = 1
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Cheers,
Stan H.