Linearly dependent or inconsistent systems of equations do not solve correctly

[JonathanB05]

If a system of equations is not linearly independent, it will have infinitely many solutions. However, when using "Solve System of Equations" in the app, if I enter a linearly dependent system, it will give me one point instead of a set of equations defining what points satisfy the system.

I used the equation solve to solve this system:
0x + 50y + 2z = 20
-6x - 12y + 20z = 8
6x + 62y - 18z = 12

The answer should be
x = -2.1333333 + 3.41333333z
y = 0.4 - 0.04z

However, the app gives the answer as
x = 5/13, y = 4, z = 6/25.

In addition, the equation solveralso does not correctly solve inconsistent equations, which should have no solution. Instead, the equation solver gives a point, which does not solve the system.

I used the equation solver to solve this system:
0x + 50y + 2z = 20
-6x - 12y + 20z = 8
6x + 62y - 18z = 13

There is no solution to this system of equations, but the app gives the solution as x = 5/13 y = 4, z = 13/50.