Question

6/ 7 x− 2 /5 y+ 5/ 7 (y+x)

Answer 1

$\boxed{\frac{11}{7}x+\frac{11}{35}y}$

Explanation:

In this exercise, we need to simplify the following expression:

$\frac{6}{7}x-\frac{2}{5}y+\frac{5}{6}(y+x)$

Step 1. Apply distributive property to open parentheses:

$\frac{6}{7}x-\frac{2}{5}y+\frac{5}{7}(y+x) \\ \\ \frac{6}{7}x-\frac{2}{5}y+\frac{5}{7}y+\frac{5}{7}x$

Step 2. Combine like terms:

$(\frac{6}{7}x+\frac{5}{7}x)+(\frac{5}{7}y-\frac{2}{5}y) \\ \\ Solving: \\ \\ (\frac{6+5}{7})x+(\frac{(5)(5)-(7)(2)}{(7)(5)})y \\ \\ (\frac{11}{7})x+(\frac{25-14}{35})y \\ \\ \boxed{\frac{11}{7}x+\frac{11}{35}y}$

Learn more:

Simplify expressions: https://brainly.com/question/13528874

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