Question

Which equation is an identity?

Answer 1

5w + 8 - w = 6w - 2(w - 4)

Hope this helps :)

Answer 2

Answer:

Option b - $5w + 8 - w = 6w - 2( w - 4)$  

Step-by-step explanation:

To find : Which equation is an identity?    

Solution :

Option a - $11- (2v + 3) = -2v - 8$          

If we open the parenthesis,

$11- 2v -3 = -2v - 8$    

$-2v+8\neq -2v - 8$    

No identity applied.

Option b - $5w + 8 - w = 6w - 2( w - 4)$          

If we apply distributive property, $a(b+c)=ab+ac$

$5w + 8 - w = 6w - 2w+8$    

$4w+8= 4w+8$    

Distributive identity is applied.

Option c - $7m - 2 = 8m + 4 - m$          

Solve by subtracting in RHS

$7m - 2 \neq 7m + 4$    

No identity applied.

Option d- $8y + 9 = 8y - 3$          

This is not possible as $8y + 9 \neq 8y - 3$

No identity applied.          

Therefore, Option b is correct.