Question

Jason had $32. He spent all the money on buying 4 CDs for $x each and 2 magazines for $y each. If Jason had 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).

mod note: Please do not give away the answer directly. Low-effort and/or plagiarized answers will be removed.

Answer 1

ok so what you think the answer is?

Answer 2

the system of equations is 4x + 2y = 4 and 5x + 2y = 36 as suggested by the answer choices

simply solve this and see which answer choice contains the correct solution

as a major hint, notice how 2y is common to both equations. you can therefore subtract the two equations, eliminate y, and solve for x. once you have x, plug back into one of the equations and solve for y.