A bag contains white marbles and blue marbles, 65 in total. The number of white marbles is 8 more than 2 times the number of blue marbles. How many white marbles are there?

NOTE: THIS IS AN EXAMPLE

Step-by-step explanation:

Let the Yellow Marbles be “X” and Red Marbles be “Y”

Total is 65, so X+Y = 65

Since we know that Yellow Marbles are 5 more than 4 times red marbles, let us convert that in terms of X and Y as well.

i.e, X = 4Y+5

Now replace X with (4Y+5) in the first equation we wrote above.

(4Y+5)+Y = 65

i.e, 5Y+5 = 65

5Y = (65–5),

5Y = 60

Therefore Y = 60/5 = 12

we know total is 65

So X= 65-Y

X=65–12 = 53

Therefore, the number of Yellow Marbles are 53 and the Red ones are 12.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

yes.. it's proven to be 36.