Question

Complete each proof using the properties of equality. Not all rows may be used.

Answer 1

Statement Reason

4d = 1/3(c - d) Given

12d = c - d Multiplication property

13d = c Addition property

c = 13d Symmetric property

Step-by-step explanation:

The initial equation is

4d = 1/3(c - d)

Then, we need to multiply both sides by 3, so

3(4d) = 3(1/3)(c-d)

12d = c - d

Finally, add d to both sides of the equation

12d + d = c - d + d

13d = c

Then,

c = 13d

Therefore, the answer is

Statement Reason

4d = 1/3(c - d) Given

12d = c - d Multiplication property

13d = c Addition property

c = 13d Symmetric property