Answer:
[tex]g(n) = \frac{11}{3} + \frac{5n}{3}[/tex] or g(n) = (11/3) + (5/3)n
Step-by-step explanation:
Equation: [tex]3m - 5n = 11[/tex]
To write a formula for g(n) in terms of n, we have to get m seperately.
[tex]3m - 5n = 11[/tex], add 5n in both sides
[tex]3m - 5n + 5n = 11 + 5n[/tex], now add
[tex]3m = 11 + 5n[/tex], now divide both sides by 3
[tex]\frac{3m}{3} = \frac{11 + 5n}{3}[/tex]
[tex]m = \frac{11}{3} + \frac{5n}{3}[/tex]
Now, replace m with g(n)
[tex]g(n) = m[/tex]
[tex]g(n) = \frac{11}{3} + \frac{5n}{3}[/tex]
