When you are given ordered pairs and asked to determine if it is a solution to a linear equation or inequality, the easiest thing to do is just to substitute the values of the ordered pair into the equation or inequality.

Is (5, -4) a solution to equation 2*x* + 3*y* = -2?

If we substitute 5 in for *x* and -4 in for *y*, we will have the following:

2*x* + 3*y*

2(5) + 3(-4)

10 + (-12)

-2

=

=

=

=

-2

-2

-2

-2

Since we end up with a true statement, we know that (5, -4) IS a solution to the equation.

Is (-1, 2) a solution to the inequality *y* < 2*x* + 1?

If we substitute -1 in for *x* and 2 in for *y*, we will have the following:

*y* < 2*x* + 1

2 < 2(-1) + 1

2 < -2 + 1

2 < -1

Since 2 is NOT less than -1, we know that (-1, 2) is NOT a solution to the inequality.

Now it's time for you to practice. Use your notes and determine if the given ordered pairs are solutions to the linear equations or inequalities.

- Is (0, 1) a solution for
*y*= two-thirds 2 3*x*− 1? - Is (-1, -5) a solution for
*y*= 3*x*– 2? - Is (1, 2) a solution for
*y*+ 3 ≥*x*+ 4? - Is (2, -5) a solution for
*y*+ 4 > 2*x*?

When you have answered all of the questions, click below.

Interactive popup. Assistance may be required.Answer to question 1: No (1 ≠ -1)

Answer to question 2: Yes (-5 = -5)

Answer to question 3: Yes (5 ≥ 5: it is equal)

Answer to question 4: No (-1 4)