Mathematics: Which equation is an identity? a. 11- (2v + 3) = -2v - 8 b. 5w + 8 - w = 6w - 2( w - 4) c. 7m - 2 = 8m + 4 - m d. 8y + 9 = 8y - 3

whatdose that mean Explanation:...

Which equation is an identity? a. 11- (2v + 3) - id1123727458, adrianvigil6400

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12.03.2022

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.

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