Question

Gente me ajudem a resolver por favor!

Answer 1

$\frac{17}{6} + \frac{17}{7} = \frac{18}{x} \\ \\ \frac{119+102}{42}= \frac{18}{x} \\ \\ 756=119x+102x \\ 221x=756 \\ x=3,4$

Answer 2

$\left( \dfrac{17}{6} \right) + \left( \dfrac{17}{7} \right) = \left( \dfrac{18}{x} \right) \to~~mmc=42x\\\\\\ \dfrac{119x+102x}{42x} = \dfrac{756}{42x}\to\\\\\\ 110x+102x=756\to\\\\ 221x=756\to\\\\ \large\boxed{x= \dfrac{756}{221}~~~ou~~~x~\~=~3,4 }$