We just updated Linear Algebra Made Easy :
It can now step-by-step Solve a system of equations given in matrix format with parameter solution.
A wonderful description of the 3 different types of solutions ( (in)dependent or inconsistent ) can be found at
https://people.richland.edu/james/lecture/m116/matrices/matrices.html
Only dependent solutions yield parameter solutions.
Linear Algebra Made Easy will solve all 3 types of solutions for you step by step , find it under F2 Option F
The updated app can be download at www.ti89.com/apps