Question

Which equation is equivalent to 11z (22) = 51?
A. 13x= 51
B. 12x= 53
C. 12x=49
D. 10x=53

Answer 1

To find the equivalent equation, we need to solve the equation given.

11z(22) = 51

Firstly, we simplify the left side of the equation.

11z(22) = 242z

So the equation becomes:

242z = 51

To find the equivalent equation, we divide both sides of the equation by 242:

(242z)/242 = 51/242

Simplifying, we get:

z = 51/242

Now, let's see which of the answer choices gives the same solution for z.

A. 13z = 51
B. 12z = 53
C. 12z = 49
D. 10z = 53

Only option C is equivalent to the original equation, as it gives the same solution for z.

Therefore, the correct answer is C. 12z = 49.