Here is an example.

Example: Solve the system

Solution:

Neither of these equations is in a form that is easy to put into the calculator, so the first thing you need to do is to solve each equation for y. If you do not remember how to do that, Interactive popup. Assistance may be required. click here.

        3x − y = 5

3x − 3x − y = 5 − 3x

             -y = 5 − 3x

      -1 × -y = -1(5 − 3x)

               y = -5 + 3x

        2x + y = 9

2x − 2x + y = 9 − 2x

               y = 9 − 2x

Enter both of the equations into the calculator.

Look at the graph to get an idea of where to start your table.

Since the system appears to intersect somewhere around x = 3, have the table designed with 3 in the middle.

Because the two y-coordinates for x = 3 are different, we need to look a bit deeper for the solution. Use Table Set to start the table at x = 2 and set the table to go by tenths instead of ones.

Scroll through the table until you find the same y-coordinates in y₁ and y₂.

The solution for this system is (2.8, 3.4)