Question

find the value of a so that the point 2,9 lies on the line represents by ax-3y=5

Answer 1

Point (2,9)satisfies the line equation
So a*2-(3*9)=5
a=16

Answer 2

Given point (2,9) lies on aX -3Y = 5.
=> (2,9) must satisfy the equation of given line.
i.e. a(2) - 3(9) = 5
      2a -27 = 5
      2a = 27+5
      2a = 32
=> a = 16.