The value of the numerator of a particular fraction is one-half the value of its denominator. if the numerator is increased by 2 and the denominator is decreased by 2, the value of the resulting fraction is 3/4. what is the denominator of the original fraction?

Step-by-step explanation:

Let the fraction be :

The value of the numerator of a particular fraction is one-half the value of its denominator.

i.e.  (1)

If the numerator is increased by 2 and the denominator is decreased by 2, the value of the resulting fraction is 3/4.

 (2)

Put value of y from (1) in (2), we get

from (1), y= 2(7)=14

Thus , The original fraction becomes

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.