Isabella has a total of 150 music CD's.She loves rock music and alternative music. The number of alternative music CD's is three more than twice that of the rock music CD's that she owns .

(a). Write down two equations that represent this information.

(b). Draw the two graphs that represent these equations on the same set of axes .

(C). Show where you can read off how many Rock CD's Isabella owns . ​

Respuesta :

The system of equations that we need to solve is:

  • x + y = 150
  • y = 2x + 3

And the solution is x = 49 and y = 101.

How to solve the system of equations?

Let's define the variables:

  • x = number of CDs of rock music.
  • y = number of CDs of alternative music.

We know that the total number of CDs is 150, then:

x + y = 150

And we know that:

y = 2x + 3

Then the two equations that represent the information (and conform a system of equations) are:

x + y = 150

y = 2x + 3

b) The graphs of the two equations can be seen below.

c) To find the solution, we just need to see where the graphs intercept.

We can see that the intercept is (49, 101), this means that:

Isabella has 49 rock music CDs and 101 alternative music CDs.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

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