Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is $(5,\,3)$ a solution to this system of inequalities? $\newline$ $2x + 2y < 19$ $\newline$ $3x + y \leq 18$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

View step-by-step help

View step-by-step help

Is (x, y) a solution to the system of linear inequalities?

Full solution

Q. Is

(5,\,3)

a solution to this system of inequalities?

\newline

2x + 2y < 19

\newline

3x + y \leq 18

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check First Inequality: Check if $(5, 3)$ satisfies the first inequality $2x + 2y < 19$ . $\newline$ Substitute $x = 5$ and $y = 3$ into the inequality. $\newline$ $2(5) + 2(3) < 19$ $\newline$ $10 + 6 < 19$ $\newline$ $16 < 19$ $\newline$ This is true.
Check Second Inequality: Check if $(5, 3)$ satisfies the second inequality $3x + y \leq 18$ . Substitute $x = 5$ and $y = 3$ into the inequality. $3(5) + 3 \leq 18$ $15 + 3 \leq 18$ $18 \leq 18$ This is also true.
Solution Verification: Since $(5, 3)$ satisfies both inequalities, it is a solution to the system.

More problems from Is (x, y) a solution to the system of linear inequalities?

Question

Write the following inequality in slope-intercept form.

\newline

9x+y \geq -17

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

\newline

Posted 3 months ago

Question

(2,\,1)

make the inequality

2x + 15y < 20

\newline

\newline

\newline

Posted 3 months ago

Question

Jack is fixing up his home and must spend less than

\$4,800

to hire carpenters and painters. Carpenters charge

\$60

per hour and painters charge

\$32

\newline

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

\newline

x =

the number of hours of carpentry

\newline

y =

the number of hours of painting

\newline

\newline

32x + 60y < 4,800

\newline

60x + 32y < 4,800

\newline

32x - 60y < 4,800

\newline

60x - 32y < 4,800

Posted 3 months ago

Question

(2,\, 10)

a solution to this system of inequalities?

\newline

y \geq x + 10

\newline

y \leq 9x + 5

\newline

\newline

\newline

Posted 3 months ago

Question

Write the following inequality in slope-intercept form.

\newline

4x - 2y \leq 8

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 4 months ago

Question

Write the following inequality in slope-intercept form.

\newline

-3x + 5y > 15

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 4 months ago

Question

Write the following inequality in slope-intercept form.

\newline

2x + 3y < -6

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 4 months ago

Question

Write the following inequality in slope-intercept form.

\newline

-7x - y \geq 21

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 2 months ago

Question

Write the following inequality in slope-intercept form.

\newline

5x - 4y > -20

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 4 months ago

Question

Miyoko's goal is to earn more than

(950

this week. She earns

)250

for every day she works as a cryptographer, and earns

\$180

for every day she works as a geologist.

\newline

Write an inequality that represents the number of days Miyoko should work as a cryptographer

C

and as a geologist

G

to achieve her goal.

Posted 4 months ago