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x varies directly as the product of u and v and inversely...

x varies directly as the product of u and v and inversely as their sum. If x = 3 when u = 3 and v = 1, what is the value of x if u = 3 and v = 3?

A.

3

B.

4

C.

6

D.

9

Correct answer is C

xuvu+vx=kuvu+vK=x(u+v)uv3(3+1)3×13×43k=4x=4uvu+vx=4×3×33+3x=366x=6