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Jason had $32. He spent all the money on buying 4 CDs for $x each and 2 magazines for $y each. If Jason would have bought 5 CDs and 2 magazines, he would have run short of $4.

A student concluded that the price of each CD is $5 and the price of each magazine is $6. Which statement best justifies whether the student's conclusion is correct or incorrect? A. The student's conclusion is incorrect because the solution to the system of equations 4x + 2y = 4 and 5x + 2y = 36 is (9, 4).

B. The student's conclusion is incorrect because the solution to the system of equations 4x + 2y = 32 and 5x + 2y = 36 is (4, 8).

C. The student's conclusion is correct because the solution to the system of equations 4x + 2y = 4 and 5x + 2y = 36 is (5, 6).

D. The student's conclusion is correct because the solution to the system of equations 4x + 2y = 32 and 5x + 2y = 36 is (5, 6).

2 Answers

3 votes

Answer:

(4,8)

Explanation:

User Kreeszh
by
7.8k points
2 votes
. The student's conclusion is incorrect because the solution to the system of equations 4x + 2y = 32 and 5x + 2y = 36 is (4, 8).
B is right option
4x + 2y = 32
5x + 2y = 36 subtracting
-x=-4
x=4
4(4)+2y=32
16+2y=32
2y=16
y=8
hope this helps
User Geertjanknapen
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7.2k points