The price of a used compact disk is $9.99.
Well, this is a system of 2 equations and 2 unknowns.
Let n = the price of new compact disks and let
u = the price of used compact disks.
Then the first equation would be 6n + 2u = 127.92.
The second equation would be
3n+8u = 133.89.
So our system is,
<h3>What is the system of equations?</h3>
A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
6n + 2u = 127.92
3n+8u = 133.89
Since I don't like working with decimals I would multiply both equations by 100 that way it would get rid of the decimal.
Doing so results in the following system
600n+200u = 12792
300n+800u = 13389
Now we want to know how much one used disk sells for.
To do that we multiply the bottom equation by -2 and add it to the top equation.
-2(300n+800u = 13389)
=> -300n-1600u = -26778
Now we add that to the top equation
600n+200u = 12792
+(-300n-1600u = -26778)
----------------------------
-1400u = -13987
Now we solve for u by dividing both sides by -1400 and we see that
u = 9.99.
So the price of a used compact disk is $9.99.
To learn more about the equation visit:
brainly.com/question/2972832
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