Question

Give me an explanation please

Answer 1

Answer:

The 3rd and 6th

Step-by-step explanation:

Make a system of equations, try to solve, and then see which statements apply.

let x be the cost of a DVD and y be the cost of a video game

Then you would have:

2x + y = 12

4x + 2y = 24

from turning the words into equations.

Now, solve:

first, multiply the first equation by 2

2x + y = 12 --> 4x + 2y = 24

Then, subtract the two equations:

4x + 2y = 24

- (4x + 2y = 24)

0 = 0

Since you have a number = a number, there are infinite solutions.

Go through the options they give you and see which ones are correct

o The system of linear equations that represents this situation has one solution

Not true, there are infinite

o The system of linear equations that represents the situation has no solution.

Not true

o The system of linear equations that represents the situation has infinitely many solutions.

True

o The DVD rentals cost more than video game rentals

Unknown, it could cost more but it can also cost less so this is not true

o The video rentals cost more than the DVD rentals

Unknown for the same reason

o You cannot determine the cost of video game rentals or DVDs.

True