Question

Which pair shows equivalent expressions?2(3x+ 2) = 23 x+1

21ę x+ 2) = x+4
2c 21= x+4)= 2

Answer 1

Option (2)

Explanation:

Option (1).

`2((2)/(5)x+2)=2(2)/(5)x+1`

`(4x)/(5)+4=(12)/(5)x+1`

Therefore, both the sides of the expression are not equal.

False.

Option (2).

`2((2)/(5)x+2)=(4)/(5)x+4`

`(4x)/(5)+4=(4)/(5)x+4`

True.

Option (3).

`2((2)/(5)x+4)=(4)/(5)x+2`

`(4)/(5)x+8=(4)/(5)x+2`

False.

Option (4).

`2((2)/(5)x+4)=2(2)/(5)x+8`

`(4x)/(5)+8=(12)/(5)x+8`

Both the sides are not equal.

False.