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 boug
ht 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)
1 answer:
Answer:
(4,8)
Step-by-step explanation:
We have the two equations:
and

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).
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