Real world situation with System of Equation with 3 variables?

Gael Gardner

Gael Gardner

Answered question

2022-05-23

Real world situation with System of Equation with 3 variables?

Answer & Explanation

dariajoq9

dariajoq9

Beginner2022-05-24Added 14 answers

1) When you have a set of data of the form ( x i , y i , z i ) and you want to fit a model of the form
z = a f ( x , y ) + b g ( x , y ) + c ,
least squares leaves you with three equations in a, b and c.
2) Any kind of a 'network flow'. For example suppose that you have a roundabout with three exits and the flow in and out of each exit is known then using the principle that the flow into a junction should equal the flow out leaves you with three equations in the unknown flow between exists.
3) When doing a partial fraction expansion --- which occurs in various applications --- you are often left with simultaneous equations.

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