Question

Найдите значение х, если
3х = 4у = 5z и
1/х + 1/у + 1/z = 2

Answer 1

$\frac{1}{x}$+$\frac{1}{y}$+$\frac{1}{z}$ = 2

3x = 4y → y = $\frac{3x}{4}$

3x = 5z → z = $\frac{3x}{5}$

$\frac{1}{x}$+$\frac{4}{3x}$+$\frac{5}{3x}$ = 2

$\frac{3}{3x}$+$\frac{4}{3x}$+$\frac{5}{3x}$ = 2

$\frac{12}{3x}$ = 2

$\frac{4}{x}$ = 2

x = 2