Simplify the rational expression?

Question

2x - 9
_____
9 - 2x

Answer 1

(2x - 9)/(9 - 2x)

First: take the denominator and rewrite it in alpha descending order > the "2x" should be first:

(2x - 9)/(-2x + 9)


Second: factor the denominator > the leading coefficient is (-2) and you can factor a (-1):

(2x - 9)/[-1(2x - 9)]

Third: cancel "like" terms > cancel (2x - 9)

= -1/1
= -1

Answer 2

The method you need to be aware of to solve this is the "negative one" technique.

The negative one technique basically states that you can switch around the terms whenever you subtract by factoring out (-1) out of them. For example, (a - b) is the same as (-1) (b - a).

In this case, that's exactly what you do.

(2x - 9) / (9 - 2x)

Let's factor out a (-1) out of the numerator, to give us

[(-1)(9 - 2x)] / (9 - 2x)

As you can see, now something on the top cancels with something on the bottom, leaving us with our final answer:

-1

Assuming x is defined, the rational expression simplifies to -1.

Answer 3

2x-9
____ = 0
9-2x

2x-9 = 9-2x
2x+2x = 9+9
4x = 18
x = 18/4
x = 4.5

firstly u must make the equation is equal to 0
then, u move the 9-2x to right handsided
then u arrange the x and the number
the number that has x, u put them at left handsided while the number u put at the right handsided.
then u solve it. that all.

Answer 4

Multiply the equation by -1 and multiply the numerator by -1 (this way, you will not have changed the value)

for example, if you start with a/b, you can rewrite it as
(-1) * (-a)/b and you have not changed the value (because (-1)*(-a )= a

Answer 5

2x - 9
--------
9 - 2x


2x - 9
---------------
-1(-9 + 2x)




2x - 9
---------------
-1(2x - 9)




1
---
-1



-1




Your expression can be simplified to -1

Answer 6

(2x-9)/(9-2x) = (-(-2x+9))/(9-2x) = (-(9-2x))/(9-2x) = -1 when 9 - 2x does not equal zero.