IXL - Is (x, y) a solution to the system of inequalities? (Algebra 2 practice)

Is (6, 2) a solution to this system of inequalities?

2x + y < 19
2x + 3y ≥ 18

yes

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Learn with an example

question

Is (2, 1) a solution to this system of inequalities?

x + 9y > 6
3x + 18y ≤ 16

yes

key idea

A point is a solution to a system of inequalities if plugging the point into each inequality results in a true statement.

solution

In the ordered pair (2, 1), 2 is the x-value and 1 is the y-value.

In the first inequality, replace x with 2 and y with 1.

x + 9y

2 + 9(1)

2 + 9

This statement is true.

Now in the second inequality, replace x with 2 and y with 1.

3x + 18y

≤

3(2) + 18(1)

≤

6 + 18

≤

This statement is false.

Plugging (2, 1) into the second inequality did not result in a true statement. So, (2, 1) is not a solution to the system of inequalities.

Looking for more? Try these:

Lesson: Systems of linear inequalities

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Not feeling ready yet? These can help:

P.1Does (x, y) satisfy the inequality?

E.1Is (x, y) a solution to the system of equations?

Lesson: Systems of linear inequalities

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