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 the 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

d=8−2g
d+g=46

g=2d−8
g+d=46