Question

3m-5n=11 write a formula for g(n) in terms of n. g(n) =​

Answer 1

Answer: g(n) = (5/3)n + 11/3

Work Shown:

3m - 5n = 11

3m = 5n + 11 ... add 5n to both sides

m = (5n+11)/3 ... divide both sides by 3

m = (5n)/3 + 11/3 ... break up the fraction

m = (5/3)n + 11/3

g(n) = (5/3)n + 11/3 ...replace m with g(n)

Answer 2

`g(n)=(11)/(3)+(5n)/(3)`

Explanation:

We have the expression
`3m-5n=11` to write a formula for g(n) in terms of n we have to clear m. This is:

`3m-5n=11`, add 5n in both sides of the expression.

`3m-5n+5n=11+5n\\3m=11+5n`, now divide both sides in 3.

`(3m)/(3)=(11+5n)/(3)\\m=(11)/(3)+(5n)/(3)`

Now we can say that g(n)=m:

`g(n)=m\\g(n)=(11)/(3)+(5n)/(3)`

g(n) is in terms of n.