A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.

Question

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.

Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs?

d = 2g - 8

d = 46 - g

g =8 - 2d

g = 46 - d

g = 2d - 8

g + d = 46

d =8 - 2g

d + g = 46

Answer 1

The correct system of equations that models this situation is:

d = 2g - 8
d + g = 46

Here, d represents the number of songs the drummer wrote, g represents the number of songs the guitarist wrote, and the total number of songs is 46. The first equation represents the relationship between the number of songs the drummer and guitarist wrote, while the second equation represents the total number of songs.