Question

Jason had $32. He spent all the money buying four CDs for x dollars each and two magazines for y dollars each. If Jason had bought five CDs and two magazines, he would have run short by $4. The following system of equations models this scenario:

4x + 2y = 32
5x + 2y = 36

Use the system of equations to solve for x and y.
(4, 8)
(5, 6)
(8, 4)
(6, 5)

Answer 1

The answer is the ordered pairs (4,8) because we used the system equations to solve for x and y.

Explanation:

Answer 2

(4,8)

Explanation:

We have the two equations:

`$ 4x + 2y = 32 \hspace{15mm} .....(1) $` and

`$ 5x + 2y = 36 \hspace{15mm}  .....(2) $`

Subtracting (1) from (2):

⇒ 5x + 2y -4x - 2y = 36 - 32

⇒ x = 4

Substituting the value of x in (1), we get:

4(4) + 2y = 32

⇒ 2y = 16

⇒ y = 8

We write the solution in ordered pair as (x,y) = (4,8).