Solve 2×2 System of Equation – Step by Step – using TiNSpire CX

When solving

x-5y =6

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.



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▷Proof by Induction using the TiNspire CX – Step by Step

Here is how to do Proof by Induction using the TiNspire CX CAS calculator – step by step.

You first launch Algebra Made Easy and select Proof by Induction for Sums in the menu.

Then enter the sigma expression (thats the general formula of the terms to be added) in the top box and the sum-formula in the bottom box as shown below:

In Step1 (the base case) we plug in 1 into both sides of the equation. If we get a matching answer we move on to Step 2.

Now we assume that the given formula is correct for the n-th integer S(n) (really for the first n integers) and add the n+1. term to both sides of the  equation, simplify the right side and get the expected expression for S(n+1)

then proof by induction allowed is to verify the given identity. Voila!!