Nikhil and Mae work at the same company. Nikhil has been at the company 6 times as long as Mae. Nikhil's time at the company is 8 more than 4 times Mae's. The following system of equations models the scenario:
x = 6y
x = 8 + 4y
How many years has each person been employed by the company?
Substitute x = 6y from the first equation into the second equation:
6y = 8 + 4y
2y = 8
y = 4
So, Mae has been employed by the company for 4 years.
Using the first equation, we can find Nikhil's employment length:
x = 6y
x = 6(4)
x = 24
Therefore, Nikhil has been employed by the company for 24 years.
To solve this system of equations, we can use the method of substitution.
First, let's solve the first equation for x in terms of y:
x = 6y
Next, we substitute this expression for x into the second equation:
6y = 8 + 4y
Now, let's solve for y:
6y - 4y = 8
2y = 8
y = 4
So, Mae has been employed by the company for 4 years.
Now, let's substitute this value of y back into the first equation to find x:
x = 6y
x = 6 * 4
x = 24
Therefore, Nikhil has been employed by the company for 24 years.