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2 February, 20:14

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

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Answers (1)
  1. 2 February, 20:16
    0
    Option B is correct.

    Step-by-step 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)
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