Question

tell which property of equality was used.
$3m + 14 = 19$
$3m + 14 - 14 = 19 - (19 - 5)$

choose the correct answer below

a. multiplication property of equality
b. addition property of equality
c. subtraction property of equality
d. division property of equality

Explanation:

The Subtraction Property of Equality states that if we subtract the same number from both sides of an equation, the equation remains true. In the given steps, we subtract 14 from the left - hand side ($3m + 14-14$) and also subtract 14 from the right - hand side (the expression $19-(19 - 5)$ seems to be a typo, but the key action is subtracting 14 from both sides as in a correct application of the property, like if the original equation was $3m + 14=19$, then subtracting 14 from both sides: $3m + 14-14=19 - 14$). The Multiplication Property of Equality involves multiplying both sides by a number, the Addition Property involves adding a number to both sides, and the Division Property involves dividing both sides by a number. Since we are subtracting 14 from both sides, the Subtraction Property of Equality is used.

Answer:

C. Subtraction Property of Equality