Question

Which of the values for x and y make the equation 2x + 3y + 4 = 15 true?

x = 6, y = 3

x = 3, y = 5

x = 6, y = 4

x = 1, y = 3

Answer 1

Answer: The correct answer choice is D.

Step-by-step explanation: I will show all the work done for each answer choice so it is more clear.

First Answer Choice's Work:

2(6) + 3(3) + 4

12 + 9 + 4

12 + 9

21

21 + 4

25.

Second Answer Choice's Work:

2(3) + 3(5) + 4

6 + 15 + 4

21 + 4

25.

Third Answer Choice's Work:

2(6) + 3(4) + 4

12 + 12 + 4

24

24 + 4

28.

Fourth Answer Choice's Work:

2(1) + 3(3) + 4

2 + 9 + 4

11

11 + 4

15.

Therefore, the correct answer choice is D.

Answer 2

Try each answer into the equation in place of x and y

2x +3y +4 = 15


A) x = 6, y = 3

2x + 3y +4 = 15
2(6) +3(3) +4 =___ (should equal 15 to be the answer)
12 + 9 + 4 = 25
The equation equals 25, not 15, so A is not the answer.

B) x = 3, y = 5

2x +3y +4 = 15
2(3) +3(5) +4 = ___ (Should equal 15 to be the answer)
6 +15 +4 = 25
The equation equals 25, not 15, so B is not the answer

C) x = 6, y = 4
2x +3y +4 = 15
2(6) +3(4) +4 =___ (should equal 15 to be the answer)
12 + 12 +4 = 28
The equation equals 28, not 15, so C is not the answer


D) x = 1, y = 3

2x +3y +4 =15
2(1) +3(3) +4 = ___ (should equal 15 to be the answer)
2 +9 +4 = 15
The equation equals 15 so this would be the answer

D (or the last option) x = 1, y = 3 is the answer to your question

Hope this helps! :)