If x is equal to 2 more than the product of 4 and z, and y is equal to 3 less than the product of 5 and z, then 3x is how much greater than 2y when z is 3?

Question: If x is equal to 2 more than the product of 4 and z, and y is equal to 3 less than the product of 5 and z, then 3x is how much greater than 2y when z is 3?

Solution:
Given:
x = 4z + 2
y = 5z - 3

When z = 3,
∴ x = 4 × 3 + 2 = 12 + 2 = 14
∴ y = 5 × 3 - 3 = 15 - 3 = 12

Now,
∴ 3x = 3 × 14 = 42
∴ 2y = 2 × 12 = 24

∴ Difference = 3x - 2y = 42 - 24 = 18
∴ 3x is 18 greater than 2y.