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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)

User TheJizel
by
8.4k points

2 Answers

4 votes

Answer:

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 :)

User Jack Robson
by
7.8k points
6 votes

Final answer:

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.

User Ngawang
by
8.2k points

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