You can also use the table feature on your graphing calculator to find solutions to linear equations and inequalities.

Let's say that you are asked to determine if (-3, 8) is a solution to 3y + x = 7.

Step 1:

Enter the equation in y-equals button

Remember that first we will need to write the equation in y = form.

Our equation will be y = - 1 3 x + 7 or y = 7 − 1 3 x

Step 2:

Look at the table for this equation by pressing 2nd graph to access the table and scroll up the table until you see an x-value of -3.

Our table shows that when x = -3, y = 8.

So the ordered pair (-3, 8) IS a solution to the equation.



Let's look at a linear inequality next.

Is (-1, -6) a solution for 4x − 2y > 8?

Step 1:

Enter the equation in y-equals

Remember that first we will need to write the equation in y = form.

Our equation will be:

four x minus two y is greater than 8, or y is less than two x minus 4

Step 2:

Look at the table for this equation by pressing 2nd graph to access the table and scroll up the table until you see an x-value of -1.

Our table shows that when x = -1, y = -6. REMEMBER: we are solving an inequality. So we need to ask "Is y < 2x – 4?"

y < 2x − 4

-6 < 2(-1) − 4

-6 < -2 − 4

-6 not less than -6

So (-1, -6) is NOT a solution to the inequality.

Use the Table feature on your calculator and determine if the given ordered pair is a solution to each linear equation or inequality.

  1. Is (-1, -1.5) a solution for y < 1 2 x + 3?
  2. Is (3, 4.5) a solution for y < 1 2 x + 3?
  3. Is (-14, -10) a solution for 7y = 4x − 14?

When you are finished, click below to check all of your answers.

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Check Your Answer

Answer to question 1: Yes

Answer to question 2: No

Answer to question 3: Yes

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