Thread: Grade 9 Equations with Fractions 2

Hi, all. Could you please explain to me how this is done? I don't understand.

Example 1.

Solve for x:

1 2x	+	1 x − 1	=	1 2(x − 1)
Solution. The LCM is 2x(x −1).
Here is the cleared equation:
x − 1 + 2x			=	x.
Each numerator has been multiplied by those factors of the LCM that are missing from its denominator. The solution follows:
2x			=	1
x			=	1 2

Again, when solving an equation with fractions, the very next statement you write -- the next line -- should have no fractions.

Thanks.

Originally Posted by JesseElFantasma

Hi, all. Could you please explain to me how this is done? I don't understand.

This is very similar to your other post.

They multiplied both sides of the equation by the least common denominator, which in this case would be