Please Help!! Need someone to explain how to show the work for this problem.

Question

Liz is shopping for a live-streaming service so she can binge watch a new drama series during her free time. She sees that the livestreaming service offers a couple of plans for new customers to choose from.

Plan 1: 12 months plus the start-up fee for a total of $54.50

Plan 2: 6 months plus the start-up fee for a total of $30.20

What is the cost for each month and what is the cost of the start-up fee?

Answer 1

Let x = Monthly fee

Let y = Start up fee

Using these variables, you have to set up the equations based on what was provided in the problem.

12x+y=54.50

6x+y=30.20

Now, solve by any method. I used elimination, multiply the second equation by -1

12x+y=54.50

-1(6x+y=30.20)

Result:

12x+y=54.50

-6x-y=-30.20 Add the equations together

6x=24.30 Divide both sides by 6

x=$4.05

Now solve for y, I used the second equation.

6(4.05)+y=30.20

24.30+y=30.20 Subtract 24.30 from both sides

y=$5.90