Answer:
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.
