I need an solved exercise for a Statically Indeterminate system.The easiest one you can invent and solve is perfect! :)

Question

dumbcow · Answer

Any indeterminate system will have more than one solution.
The easiest example would be 2 identical equations, leading to an infinite solutions

$$2x +3y = 1$$
$$4x+6y = 2 $$
This system is indeterminate because 2nd equation is just a multiple of 1st. Thus there are infinite solutions.

Another example of indeterminate systems is one where there are more variables than equations.
$$x +y+z = 3$$
$$3x - y +z = 1$$
Solutions must be given in terms of an independent variable, leading to multiple solutions.
$$x = 1 - \frac{1}{2}z$$
$$y = 2 -\frac{1}{2}z$$