Question

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

Answer 1

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

Answer 2

Option B

Explanation:

To find expression is equivalent to
`(2)/(3)x-(1)/(2)y-(4)/(5)` we will go through all the options.

Option A.

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

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

`=(2)/(3)x-(4)/(5)`

Option B.

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

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

`=(2)/(3)- (1)/(2)y-(4)/(5)`

Option C.

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

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

`=-(1)/(2)y- (4)/(5)`

Option D.

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

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

`=(2)/(3)x- (1)/(2)y`

Therefore, Option B is the answer.