Answer :

By cross-multiplying and simplifying the given equation (x + 2) / (x + 5) = x / (x + 6), we obtain the reducible equation in linear form as 2(x + 5) = (x + 2)(x + 6). This equation eliminates the fractions and allows us to further solve or analyze the equation using algebraic techniques.

The linear form provides a simplified representation of the original equation and may be easier to manipulate or solve compared to the original fractional form.

To find the reducible equation to the linear form, we need to eliminate the fractions by cross-multiplying and simplifying.

Starting with the given equation, (x + 2) / (x + 5) = x / (x + 6), we cross-multiply:

(x + 2)(x + 6) = 2(x + 5).

Expanding both sides:

x^2 + 6x + 2x + 12 = 2x + 10.

Combining like terms:

x^2 + 8x + 12 = 2x + 10.

Bringing all terms to one side:

x^2 + 8x - 2x + 12 - 10 = 0.

Simplifying:

x^2 + 6x + 2 = 0.

Therefore, the reducible equation to the linear form of the given equation (x + 2) / (x + 5) = x / (x + 6) is 2(x + 5) = (x + 2)(x + 6).

To know more about equation, visit

https://brainly.com/question/29174899

#SPJ11

Thanks for taking the time to read Find the reducible equation to the linear form of the given equation x 2 x 5 x x 6. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada