SOLUTION: Solve for X, Y, and Z in the following systems of three equations using either substition or elimination methods: 10X + Y + Z = 12, 8X + 2Y +Z = 11, 20X - 10Y - 2Z = 8

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Question 256489: Solve for X, Y, and Z in the following systems of three equations using either substition or elimination methods: 10X + Y + Z = 12, 8X + 2Y +Z = 11, 20X - 10Y - 2Z = 8
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


Solve one equation for one letter,
Substitute that in both the other equations, and simplify them.

Pick the second equation to solve for Z




Substitute  for  in the other two













Notice that you can divide that equation through by 6


So now you have this system with only 2 equations
and 2 unknowns:



Solve the first equation for Y:





Substitute  for Y in







Substitute 1 for X in






Substitute 1 for  X and 1 for Y in 






So (X,Y,Z) = (1,1,1)

Edwin
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