Question

In the picture, the first answer circled is the original answer of the problem. My math teacher simplified this to get the second circled answer. Could you explain how he simplified it?

Answer 1

We have an algebraic problem where we have to solve for "w"

`3x+2k=(15y)/(9w-18v)`

Solving for "w"

`\begin{gathered} 9w-18v=(15y)/(3x+2k) \\ w=((15y)/(3x+2k))/(9)+(18v)/(9) \\ w=(15y)/(27x+18k)+2v \end{gathered}`

The previous result is the solution to the problem without simplifying, the error is that you have in the image, in the denominator the factor "23x" in reality this is "27x"

Now we can simplify this by taking out the third part of the whole fractional term

For him we divide everything by 3, being the third part of 15, 27, and 18 respectively 5, 9, and 6.

`w=(5y)/(9x+6k)+2v`