SOLUTION: Solve the system of equations. How do I solve one of the equations for one variable then substitute the solution back into the other 2 equations.

Question 360583: Solve the system of equations. How do I solve one of the equations for one variable then substitute the solution back into the other 2 equations.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Do it like this:
Show how you would solve the following systems of equations:
x + Y + Z = 6
2X � Y + 3Z = 8
3X � 2Y � Z = -17
Eliminate y:
Add eqns 1 & 2
x + Y + Z = 6
2X � Y + 3Z = 8
---------------- Add
3x + 4z = 14
--------
Multiply eqn 1 by 2, and add to eqn 3
2x + 2y + 2z = 12
3X � 2Y � Z = -17
------------------ Add
5x + z = 5
3x +4z = 14
----------- Now it's 2 eqns in x & z. Can you finish it?

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