Nikhil and Mae work at the same company. Nikhil has been at the company 4 times as long as Mae. Nikhil's time at the company is 8 more than 2 times Mae's time. The following system of equations models the scenario:

x = 4y
x = 8 + 2y

How many years has each person been employed by the company?

1 answer

Using the first equation, we can substitute 4y for x in the second equation:

4y = 8 + 2y

Simplifying this equation, we get:

2y = 8

y = 4

Therefore, Mae has been employed by the company for 4 years. Using the first equation, Nikhil has been employed for 4 times as long, or 4 x 4 = 16 years.