Answer: There are 536 songs downloaded by Jennie and 359 songs downloaded by Diamond.
Step-by-step explanation:
Let the number of songs has downloaded by Jennie be 'x'.
Let the number of songs has downloaded by Diamond be 'y'.
According to question,
[tex]x-y=177-------(1)\\\\x+y=895--------(2)[/tex]
Now, we will solve it using "Substitution method":
From eq(1), we have
x=177+y
So, put the above expression in eq(2),
Therefore, it becomes,
[tex]177+y+y=895\\\\177+2y=895\\\\2y=895-177\\\\2y=718\\\\y=\dfrac{718}{2}\\\\y=359[/tex]
So, if we put the value of y in the expression : x= 177+y
x = 177+359
x=536
Hence, there are 536 songs downloaded by Jennie and 359 songs downloaded by Diamond.
