Question

Pweasee help!!!!!!!!!!!!!​

Answer 1

Answer:

B. $\dfrac{1}{3}x-\dfrac{1}{4}y-\dfrac{4}{5}+\dfrac{1}{3}x-\dfrac{1}{4}y$

Step-by-step explanation:

Consider all options:

A. In the expression

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

combine the like terms:

$\left(\dfrac{1}{3}x+\dfrac{1}{3}x\right)+\left(-\dfrac{1}{4}y+\dfrac{1}{4}y\right)-\dfrac{4}{5}$

Use distributive property:

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

This option is false.

2. In the expression

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

combine the like terms:

$\left(\dfrac{1}{3}x+\dfrac{1}{3}x\right)+\left(-\dfrac{1}{4}y-\dfrac{1}{4}y\right)-\dfrac{4}{5}$

Use distributive property:

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

This option is true.

3. In the expression

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

combine the like terms:

$\left(\dfrac{1}{3}x-\dfrac{1}{3}x\right)+\left(-\dfrac{1}{4}y-\dfrac{1}{4}y\right)+\left(-\dfrac{1}{5}-\dfrac{3}{5}\right)$

Use distributive property:

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

This option is false.

4. In the expression

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

combine the like terms:

$\left(\dfrac{1}{3}x+\dfrac{1}{3}x\right)+\left(-\dfrac{1}{4}y-\dfrac{1}{4}y\right)+\left(\dfrac{2}{5}-\dfrac{2}{5}\right)$

Use distributive property:

$x\left(\dfrac{1}{3}+\dfrac{1}{3}\right)+y\left(-\dfrac{1}{4}-\dfrac{1}{4}\right)=\dfrac{2}{3}x-\dfrac{1}{2}y$

This option is false.