47,121 views
28 votes
28 votes
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​

User Chick Markley
by
3.2k points

1 Answer

14 votes
14 votes

Answer:


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

User Kamaro
by
2.8k points
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