Let $f(x) = \dfrac{2-3x}{5-2x}$. For what value of $a$ is $f(a) = 3$?

Question

Thanks!

Answer 1

f = (2-3x)/(5-2x)
f(a) = 3 when

(2-3a)/(5-2a) = 3
2-3a = 15-6a
3a = 13
a = 13/3