**4-x/x-2=-2/x-2**

**volume of a cube V=s3 the length of the cube is round**

**a. 800cm(small) 3**

**b.500cm(small three)**

**formula for wind chill**

**w=33-(10.45+10Check mark over v-X-V (33-T)/22=**

**Tis actually Celcius**

Tutors, sign in to answer this question.

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

You know that we can Multiply the Numerator and denominator of a fraction by the same number and the value of the fraction does not change:

1/2 = (2 * 1) / ( 2 * 2) = 3/ 6 = 4/ 8 = ....... 50/100

This says that if we split a unit, first into 2 part, 2nd into 4 part, 3rd into 6 part, ...... , and into 100 part

1 of the first split, 2 of the 4 split, 3 of the 6 split, ..... , 50 of the 100 split

will all add up the same quantity.

Now:

if we have 1/2 = x / 6

We have 2 fraction equal, therefore, 6 divided by 2 = 3 , X has to be multiplied by 3 to keep the values of 2 fractions equal

to solve this equation:

1/2 = x/6

We multiply both sides by 6

6*1/2 = 6 *X / 6

Now divide both sides by 6

Simplify each fraction

X = 3

So , that is where the cross multiplication of 2 equal fraction comes into picture.

Multiply both fraction with LCM of the denominators, and then simplify each fraction to find the

value of the variable.

Hello again Sherry -

The first equation above is called an algebraic rational expression. This is just a fraction with variables in it. Look at the equation. If there were no x's in it, what would you do? Isn't it just a proportion? It is two fractions set equal to each other. I would start solving this by cross multiplying. Then you get the following:

-2(x-2) = (4-x)(x-2)

Now distribute the negative 2 on the left and FOIL the right side, combine like terms and get this:

x^{2 }-8x +12 = 0

Now can you factor the quadratic? When I do this I get

(x-6)(x-2)

Now use the Zero Product property, set each factor equal to zero and solve. You get two answers, 6 and 2. BUT..... you need to check you answers. What happens in the denominator of the original equation if x = 2? Uh-oh! the denominator would be equal to zero, so 2 is called an "excluded value", and the only valid solution is 6.

Let's check; 4-6/6-2 = -2(6-2)?

-2/4 = -2(4)

Voila! it checks!

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Collin M.

I am a math graduate willing to help you succeed

$7.50 per 15 min

View Profile >

Mahta S M.

Calculus, Trigonometry, Linear Algebra, Differential, Probability &..

$18.75 per 15 min

View Profile >

Elizabeth H.

Effective and Fun Language and Math Tutor

$10 per 15 min

View Profile >