Question

Pweasee help!!!!!!!!!!!!!​

Answer 1

B.
`(1)/(3)x-(1)/(4)y-(4)/(5)+(1)/(3)x-(1)/(4)y`

Explanation:

Consider all options:

A. In the expression

`(1)/(3)x-(1)/(4)y-(4)/(5)+(1)/(3)x+(1)/(4)y`

combine the like terms:

`\left((1)/(3)x+(1)/(3)x\right)+\left(-(1)/(4)y+(1)/(4)y\right)-(4)/(5)`

Use distributive property:

`x\left((1)/(3)+(1)/(3)\right)+y\left(-(1)/(4)+(1)/(4)\right)-(4)/(5)=(2)/(3)x-(4)/(5)`

This option is false.

2. In the expression

`(1)/(3)x-(1)/(4)y-(4)/(5)+(1)/(3)x-(1)/(4)y`

combine the like terms:

`\left((1)/(3)x+(1)/(3)x\right)+\left(-(1)/(4)y-(1)/(4)y\right)-(4)/(5)`

Use distributive property:

`x\left((1)/(3)+(1)/(3)\right)+y\left(-(1)/(4)-(1)/(4)\right)-(4)/(5)=(2)/(3)x-(1)/(2)y-(4)/(5)`

This option is true.

3. In the expression

`(1)/(3)x-(1)/(4)y-(1)/(5)-(1)/(3)x-(3)/(5)-(1)/(4)y`

combine the like terms:

`\left((1)/(3)x-(1)/(3)x\right)+\left(-(1)/(4)y-(1)/(4)y\right)+\left(-(1)/(5)-(3)/(5)\right)`

Use distributive property:

`x\left((1)/(3)-(1)/(3)\right)+y\left(-(1)/(4)-(1)/(4)\right)-(4)/(5)=-(1)/(2)y-(4)/(5)`

This option is false.

4. In the expression

`(1)/(3)x-(1)/(4)y+(2)/(5)+(1)/(3)x-(2)/(5)-(1)/(4)y`

combine the like terms:

`\left((1)/(3)x+(1)/(3)x\right)+\left(-(1)/(4)y-(1)/(4)y\right)+\left((2)/(5)-(2)/(5)\right)`

Use distributive property:

`x\left((1)/(3)+(1)/(3)\right)+y\left(-(1)/(4)-(1)/(4)\right)=(2)/(3)x-(1)/(2)y`

This option is false.