Question

Which expression is equivalent to 2/3x - 1/2y - 4/5

Answer 1

Answer:

Option B

Step-by-step explanation:

To find expression is equivalent to $\frac{2}{3}x-\frac{1}{2}y-\frac{4}{5}$ we will go through all the options.

Option A.

$\frac{1}{3}x-\frac{1}{4}^y-\frac{4}{5}+\frac{1}{3}x+\frac{1}{4}y$

$=x(\frac{1}{3}+ \frac{1}{3})- y(\frac{1}{4}- \frac{1}{4})-\frac{4}{5}$

$=\frac{2}{3}x-\frac{4}{5}$

Option B.

$\frac{1}{3}x-\frac{1}{4}y-\frac{4}{5}+\frac{1}{3}x-\frac{1}{4}y$

$=x(\frac{1}{3}+ \frac{1}{3})-y(\frac{1}{4}+ \frac{1}{4})\frac{-4}{5}$

$=\frac{2}{3}- \frac{1}{2}y-\frac{4}{5}$

Option C.

$\frac{1}{3}x- \frac{1}{4}y- \frac{1}{5}- \frac{1}{3}x- \frac{3}{5} -\frac{1}{4}y$

$x(\frac{1}{3} -\frac{1}{3})-y(\frac{1}{4} +\frac{1}{4})-(\frac{1}{5}+ \frac{3}{5})$

$=-\frac{1}{2}y- \frac{4}{5}$

Option D.

$\frac{1}{3}x-\frac{1}{4}y+ \frac{2}{5}+ \frac{1}{3}x- \frac{2}{5}- \frac{1}{4}y$

$=x(\frac{1}{3}+ \frac{1}{3})-y(\frac{1}{4} +\frac{1}{4})+(\frac{2}{5}- \frac{2}{5})$

$=\frac{2}{3}x- \frac{1}{2}y$

Therefore, Option B is the answer.

Answer 2

B) 1/3x + 1/3x=2/3x
-1/4y - 1/4y= -1/2y