Question

The cost to rent and view a movie online is $2 a month plus $2 a movie. This is represented by the equation y = 2x + 2. To rent a movie and receive it in the mail is $6 a month, plus $1 a movie. This is represented by the equation y = x + 6 How many movies have been rented in food for the two costs to be the same?

Answer 1

Given:

`y=2x+2`
`y=x+6`

Required:

We need to find the value of x when both equations are equal.

Step-by-step explanation:

Equate the right side of the equations.

`2x+2=x+6`

Substract x from both sides of the equations.

`2x+2-x=x+6-x`
`x+2=6`

Substract 2 from both sides of the equations.

`x+2-2=6-2`
`x=4`

Final answer:

4 movies.