Respuesta :

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]