Question

Isaac wants to start a lawn care business. He offers his clients two different service options:


Plan A charges $20 per month plus $5 an hour.

Plan B charges $30 per month plus $3 an hour.

He used the system of equations below to determine how much money he can make on both plans.





y = 5x + 20

y = 3x + 30



If x represents the number of hours he works, and y represents the total money he makes, how many hours would he have to work to make the same amount of money with both plans?

Answer 1

Answer:

5 Hours

Step-by-step explanation:

To figure out how many hours Isaac would have to work for both plans to be the same, you should follow these steps:

Step 1: Subtract 3x from both sides.

5x+20−3x=3x+30−3x

2x+20=30

Step 2: Subtract 20 from both sides.

2x+20−20=30−20

2x=10

Step 3: Divide both sides by 2.

2x/2 = 10/2

Now you get x = 5.