Question

Given that ¹/x=²/y+¹/z. express y interms of x and z. if x=5 and z=10. find the value of y leaving your answer as a mixed fraction​

Answer 1

Answer:

$y=\dfrac{2xz}{(z-x)}$

Step-by-step explanation:

Given:

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

$\implies \dfrac{2}{y}=\dfrac{1}{x}-\dfrac{1}{z}$

$\implies \dfrac{2}{y}=\dfrac{z-x}{xz}$

$\implies 2xz=y(z-x)$

$\implies y=\dfrac{2xz}{(z-x)}$

When x = 5 and z = 10:

$\implies y=\dfrac{2(5)(10)}{(10-5)}$

$\implies y=\dfrac{100}{5}$

$\implies y=20$