Question

Rewrite the equation below so that it does not have fractions​

Answer 1

Explanation:

First thing to solve expression, use the Reverse-Inverse PEMDAS

PEMDAS is order of operations where

we

evaluate parethiss first

then exponents

then multiplication/division(which ever comes first while reading left to right )

then addition and subtraction(which ever comes first while reading left to right)

We will go in reverse to solve for x.

Are there any addition and subtraction.

Yes, there is addition when we add 4, therefore we do the Inverse and subtract 4 from both sides

`- (4)/(9) x = (2)/(3) - 4`

`- (4)/(9) x = (2)/(3) - (4)/(1)`

Use Butterfly Method to simplify

`- (4)/(9) x = ( - 10)/(3)`

Is there any multiplication or division happening to our variable of interest

Yes, there is multiplication happening as our variable is being multiplied by -4/9.

To get rid of this, we do the Inverse and divide by -4/9 on both sides.

Divide by -4/9 is the sames as multiplying by -9/4

`x = ( - 10)/(3) * - (9)/(4) = (15)/(2)`

So our answer is 15/2