Hi there!
[tex]\large\boxed{b = \frac{a}{ac - 1}}[/tex]
We can begin by making each fraction have a common denominator:
If we make each have a common denominator of ab, we get:
[tex]\frac{b}{ab} + \frac{a}{ab} = c[/tex]
Simplify:
[tex]\frac{a + b}{ab} = c[/tex]
Multiply both sides by ab:
[tex]a + b = cab[/tex]
Move b to the opposite side:
[tex]a = cab - b[/tex]
Factor out b:
[tex]a = b(ac - 1)[/tex]
Divide by (ac - 1):
[tex]\frac{a}{ac - 1} = b[/tex]
