Answer:
9
Step-by-step explanation:
6n = n² - 27
n² - 6n - 27 = 0
n² - 9n + 3n - 27 = 0
n(n - 9) + 3(n - 9) = 0
(n - 9)(n + 3) = 0
n = -3, 9
The first thing we must do for this case is to define a variable:
x: number of years
y: total salary
We have then:
For first company:
y = 1500x + 31000
For second company:
y = 2000x + 28500
Equaling both equations we have:
1500x + 31000 = 2000x + 28500
Clearing x:
2000x - 1500x = 31000 - 28500
500x = 2500
x = 2500/500
x = 5
Answer:
It will take for the salaries to be the same about:
x = 5 years
4.8, I hope this helps you, I answered this earlier. :)