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.

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.