with the TiNspire CX CAS you can either use the Substitution or the Elimination Method.
Let us demonstrate how to use the Substitution Method using the STEP BY STEP EQUATION SOLVER first:
Now, to use the Elimination Method select option 1,8 :
Below watch the Steps to solve the system of equations using the Elimination Method:
It always works! Always get correct solutions. And you get to select YOUR method of choice.