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.

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.

mayathegamergrl · Answer

i would give u the answer- but everyone gots to report me when i do that 😐 so ill try to do it step by step

lindsaylynn420 · Answer

okie thanks

mayathegamergrl · Answer

fs

mayathegamergrl · Answer

4x  + 2y  = 32

5x + 2y  = 36

=> x = 4

=> 4(4) + 2y = 32

=> 2y = 16

=> y = 8

(is this a good step-by-step?)

thatgirlcrazy · Answer

@mayathegamergrl wrote:

4x + 2y = 32 5x + 2y = 36 => x = 4 => 4(4) + 2y = 32 => 2y = 16 => y = 8 (is this a good step-by-step?)

that's exactly what I was gonna type

lindsaylynn420 · Answer

thank you

mayathegamergrl · Answer

@lindsaylynn420 wrote:

thank you

ur welcome (:

KyledaGreat · Answer

To solve for x and y in the system of equations:

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

We can subtract the first equation from the second equation to eliminate y:

5x + 2y - (4x + 2y) = 36 - 32
x = 4

Now that we know x = 4, we can substitute that value into either equation to solve for y. Let's use the first equation:

4(4) + 2y = 32
16 + 2y = 32
2y = 16
y = 8

Therefore, the solution to the system of equations is x = 4 and y = 8. This means that each CD costs $4 and each magazine costs $8.