We want to write and solve a system of equations to model the given situation.
g = 2*d - 8
g + d = 46
The first thing we need to do, is define the variables we will be using.
- g = number of songs that the guitarist wrote.
- d = number of songs that the drummer wrote.
From "The guitarist wrote 8 fewer than twice the number of the songs that the drummer wrote."
We can write:
g = 2*d - 8
And we know that in total they wrote 46 songs, so we can also write:
g + d = 46
Then the system of equations is:
g = 2*d - 8
g + d = 46
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