If x varies directly as y and x=9 when y=2 find x when y is 6

Answer 1

the x = kx
when x=9 , then y=2

9 = 2k
k = 9/2

when y=6
x=x(9/2)(6) = 27

or, by simple ratio:
x/9 = 6/2 = 3
x = 9(3) = 27

Answer 2

noticed a silly typo in 4th-last line

should say:

x= (9/2)(6) = 27