Answer: it would take 5 hours of labour before you pay the same amount for both companies.
Step-by-step explanation:
Let x represent the number of hours of labour that you pay for company A or company B
Let y represent the total amount paid for x hours of labour at company A
Let z represent the total amount paid for x hours of labour at company B
company A charges $50 for a service call plus an additional $36 per hour for labor.. This means that the total amount for x hours of labour would be
y = 36x + 50
company B charges $35 for a service call plus an additional $39 per hour of labor. This means that the total amount for x hours would be
z = 39x + 35
To determine the number of hours of labour before the amount for both companies becomes the same, we would equate y to z. It becomes
36x + 50 = 39x + 35
39x - 36x = 50 - 35
3x = 15
x = 5
