Question

I need help with this one pls!

Answer 1

Hi there!

$\large\boxed{b = \frac{a}{ac - 1}}$

We can begin by making each fraction have a common denominator:

If we make each have a common denominator of ab, we get:

$\frac{b}{ab} + \frac{a}{ab} = c$

Simplify:

$\frac{a + b}{ab} = c$

Multiply both sides by ab:

$a + b = cab$

Move b to the opposite side:

$a = cab - b$

Factor out b:

$a = b(ac - 1)$

Divide by (ac - 1):

$\frac{a}{ac - 1} = b$