Question

Which pair shows equivalent expressions?2(3x+ 2) = 23 x+1 21ę x+ 2) = x+4 2c 21= x+4)= 2

Answer 1

Answer:

Option (2)

Step-by-step explanation:

Option (1).

$2(\frac{2}{5}x+2)=2\frac{2}{5}x+1$

$\frac{4x}{5}+4=\frac{12}{5}x+1$

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

False.

Option (2).

$2(\frac{2}{5}x+2)=\frac{4}{5}x+4$

$\frac{4x}{5}+4=\frac{4}{5}x+4$

True.

Option (3).

$2(\frac{2}{5}x+4)=\frac{4}{5}x+2$

$\frac{4}{5}x+8=\frac{4}{5}x+2$

False.

Option (4).

$2(\frac{2}{5}x+4)=2\frac{2}{5}x+8$

$\frac{4x}{5}+8=\frac{12}{5}x+8$

Both the sides are not equal.

False.