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