The table gives two options for online music clubs which is also given by the system of equations: y = 0.4x + 15 and y = 0.2x + 25 For what number of songs will the monthly charge be the same?


A) 20
B) 25
C) 30
D) 50

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PHM
The Correct Answer is D

The given system of equations: y = 0.4x + 15 and y = 0.2x + 25 thus, the solution will  be x = 50, y = 35.

How to find the system of equations needed to solve an equation?

An equation usually consists of the equality of two mathematical expressions.

The solution to this system will give us the solution to the considered equation.

The solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.

The given system of equations:

y = 0.4x + 15 and y = 0.2x + 25

Solve this system of linear equations by using substitution.  

0.4x + 15 = 0.2x + 25

subtract 0.2x from both sides, obtaining:  

0.4x + 15 - 0.2x = 0.2x + 25 - 0.2x

0.2x + 15 = 25,

0.2x = 10.

x = 50.

Use the first equation to find y:  

y = 0.4(50) + 15

y = 20 + 15

y = 35

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