Fraction equations

Question

(6/x) - (5/x + 1) = (3/x)

Answer 1

6 - 5 = 3

x x + 1 x

First you have to find the common denominator, which in case will be x(x + 1).

To get everything to have the same denominator, multiply the first and last term by (x + 1)/(x + 1) and the second term by x/x:

6 • (x + 1) - 5 • (x) = 3 • (x + 1)

x (x + 1) x + 1 (x) x (x + 1)

Since every term has the same denominator, we can just work with the numerator, and solve for x.

6x + 6 - 5x = 3x + 3

x + 6 = 3x + 3

-2x = -3

x = 3/2

Answer 2

X = (3/2) if the expression is:

(6/x) - [5/(x+1)] = (3/x).

X = 2 if the expression is:

(6/x) - (5/x) + 1 = (3/x).

Answer 3

First step is to get the x's out of the denominators. We do this by multiplying x to all of the equation terms.

x[(6/x)-(5/x+1)]= x(3/x)

6-5-x=3 1-x=3 -x=2

So x=-2