Answer:
Infinite solution
Step-by-step explanation:
Let, number of Capulet family = x and number of Montague family = y.
Since, last year, each Capulet wrote 4 essays and each Montague wrote 6 essays.
Moreover, total essays wrote last year are 100.
So, we get, 4x + 6y = 100.
Again, this year, each Capulet wrote 8 essays and each Montague wrote 12 essays.
Moreover, total essays wrote this year are 200.
So, we get, 8x + 12y = 200.
Thus, the system of equations is given by,
4x + 6y = 100.
8x + 12y = 200.
Dividing first equation by 2 and second equation by 4, we get the equation,
2x + 3y = 50.
Since, there is only one equation and two variables i.e. x and y.
There can be infinite number of possibilities for the values of x and y.
