Determine the value of x when y equals 5, given that x is directly proportional to (4y - 1) and x is 14 when y is 2.

Explanation

Let z = 4y - 1. When y = 2, z = 4(2) - 1 = 7 and x = 14. Since x varies directly with z, the constant of proportionality k = x / z = 14 / 7 = 2. For y = 5, z = 4(5) - 1 = 19. Therefore, x = k * z = 2 * 19 = 38.