IXL - Is (x, y) a solution to the system of linear inequalities? (Algebra 1 practice)

Is (8, 2) a solution to this system of inequalities?

y > 9
x + 3y ≤ 14

yes

ref_doc_title.

Learn with an example

question

Is (5, 10) a solution to this system of inequalities?

y > x + 5
y ≤ 7x + 10

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 (5, 10), 5 is the x-value and 10 is the y-value.

In the first inequality, replace x with 5 and y with 10.

x + 5

5 + 5

This statement is false.

Plugging (5, 10) into the first inequality did not result in a true statement. So, (5, 10) is not a solution to the system of inequalities.

Looking for more? Try these:

Lesson: Systems of linear inequalities

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	06

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

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

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

Lesson: Systems of linear inequalities

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!