Answer:
x = [tex]\frac{ab}{b+a}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{a}[/tex] + [tex]\frac{x}{b}[/tex] = 1
Multiply through by ab to clear the fractions
bx + ax = ab ← factor out x from each term on the left side
x(b + a) = ab ← divide both sides by (b + a)
x = [tex]\frac{ab}{b+a}[/tex]
