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

`y=(2xz)/((z-x))`

Explanation:

Given:

`(1)/(x)=(2)/(y)+(1)/(z)`

`\implies (2)/(y)=(1)/(x)-(1)/(z)`

`\implies (2)/(y)=(z-x)/(xz)`

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

`\implies y=(2xz)/((z-x))`

When x = 5 and z = 10:

`\implies y=(2(5)(10))/((10-5))`

`\implies y=(100)/(5)`

`\implies y=20`