68.6k views
3 votes
Give that 1/x+2/y=1/2, express y in terms of x and 2


1 Answer

4 votes

9514 1404 393

Answer:

y = 4x/(x -2)

Explanation:

Subtract 1/x

2/y = 1/2 -1/x

Combine terms

2/y = (x-2)/(2x)

Cross multiply

4x = y(x -2)

Divide by the coefficient of y

y = 4x/(x -2) . . . . simplest

y = 2^2/(x -2) . . . . in terms of x and 2

User Rohan Veer
by
8.0k points