Question

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

Answer 1

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! :) 

Answer 2

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.