Question

Which property of equality justifies the following sequence of statements?

If 3x+2y=72


and 2y=3z ,


then 3x+3z=72


A. Addition Property

B. Subtraction Property

C. Multiplication Property

D. Division Property

E. none of the above

Answer 1

Option B is correct.

Explanation:

We have two linear equations of three variables x, y, and z.

The equations are

3x + 2y = 72 ......... (1) and

2y = 3z ........... (2)

Now, subtracting equation (2) from equation (1), we get,

3x + 2y - 2y = 72 - 3z

⇒ 3x = 72 - 3z

⇒ 3x + 3z = 72

Therefore, if 3x + 2y = 72 and 2y = 3z then 3x + 3z = 72 by subtraction property. Hence, option B is correct. (Answer)