Find the value of x when y = 5, if x varies directly as 4y-1 and x = 14 when y = 2?

Find the value of x when y = 5, if x varies directly as 4y-1 and x = 14 when y = 2?

Explanation

Let z = 4y-1

When x = 14, y = 2, z = (4*2) – 1 = 7

Now, x varies directly as z = 4y-1

When y = 5, z = (4*5) – 1 = 19

x 14 7

y - 19

Therefore, x = (14*19)/7 = 38