Question

Which of the following ordered pairs is a solution to the equation 2x + 3y = 24?

A. (12, 1)
B. (3, 8)
C. (5, 2)
D. (6, 4)

Answer 1

D. (6, 4)

Step-by-step explanation:

`2x + 3y = 24` is our equation that we are given.

let's replace each value into x and y to find our answer:

a. 2(12) + 3(1) = 24 + 3 = 27 , incorrect

b. 2(3) + 3(8) = 6 + 24 = 30 , incorrect

c. 2(5) + 3(2) = 10 + 6 = 16 , incorrect

d. 2(6) + 3(4) = 12 + 12 = 24 , correct

hope i helped :)

Answer 2

To find which ordered pair is a solution to the equation 2x + 3y = 24, each pair's values must be substituted into the equation. Upon testing each pair, it is determined that D. (6, 4) is the correct answer as it satisfies the equation.

Step-by-step explanation:

The student asked which of the following ordered pairs is a solution to the equation 2x + 3y = 24:

• A. (12, 1)
• B. (3, 8)
• C. (5, 2)
• D. (6, 4)

To determine which ordered pair is a solution, we can substitute the x and y values from each pair into the equation and see if the equation is satisfied.

For A. (12, 1): 2(12) + 3(1) = 24 + 3 = 27, which does not equal 24.

For B. (3, 8): 2(3) + 3(8) = 6 + 24 = 30, which does not equal 24.

For C. (5, 2): 2(5) + 3(2) = 10 + 6 = 16, which does not equal 24.

For D. (6, 4): 2(6) + 3(4) = 12 + 12 = 24, which does equal 24, so D is the correct answer.