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:
[tex]g(n)=\frac{11}{3}+\frac{5n}{3}[/tex]
Step-by-step explanation:
We have the expression [tex]3m-5n=11[/tex] to write a formula for g(n) in terms of n we have to clear m. This is:
[tex]3m-5n=11[/tex], add 5n in both sides of the expression.
[tex]3m-5n+5n=11+5n\\3m=11+5n[/tex], now divide both sides in 3.
[tex]\frac{3m}{3}=\frac{11+5n}{3}\\m=\frac{11}{3}+\frac{5n}{3}[/tex]
Now we can say that g(n)=m:
[tex]g(n)=m\\g(n)=\frac{11}{3}+\frac{5n}{3}[/tex]
g(n) is in terms of n.
