1) Nyla had 10 songs in a playlist on her phone. The playlist had two of her favorite artists, Beyonce and Jennifer Lopez. How many of the songs from each artist could she have?
a) Create an equation to represent this situation. Explain what each of the variables represent.
Equation:
b) List at least five solutions to the equation above. How do you know that these are the
solutions to the equation you created?

a) 10 = X + Y

b) X = 1, Y = 9

X = 2, Y = 8

X = 3, Y = 7

X = 4, Y = 6

X = 5, Y = 5

i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.

Step-by-step explanation:

The given parameters are;

The number of songs in the playlist on her phone = 10

The number of authors of the songs on her playlist = 2

The equation that represent the situation is given as follows;

X + Y = 10

Where X represent the number of Beyonce's song on her playlist and Y represent the number of Jennifer Lopez's song on her playlist

b) 5 possible solutions are;

X = 1, Y = 9

X + Y = 1 + 9 = 10

Which gives 1 Beyonce's and 9 Jennifer Lopez's songs

X = 2, Y = 8

X + Y = 2 + 8 = 10

Which gives 2 Beyonce's and 8 Jennifer Lopez's songs

X = 3, Y = 7

X + Y = 3 + 7 = 10

Which gives 3 Beyonce's and 7 Jennifer Lopez's songs

X = 4, Y = 6

X + Y = 4 + 6 = 10

Which gives 4 Beyonce's and 6 Jennifer Lopez's songs

X = 5, Y = 5

X + Y = 5 + 5 = 10

Which gives 5 Beyonce's and 5 Jennifer Lopez's songs

i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent