Question

Find the value of a so that the point (3, a) lies on the line represented by 2x – 3y – 5 = 0.

Answer 1

It the point (3, a) lies on the line 2x - 3y = 5

then

2 (3) - 3 (a) = 5

⇒ 6 - 3a = 5

⇒ 3a = 6 - 5

⇒ 3a = 1

∴ a = `1/3`