Question

tell which property of equality was used.
$16 + m = 32$
$(16 + m) - 5 = 32 - 5$
choose the correct answer below.

• multiplication property of equality
• division property of equality
• addition property of equality
• subtraction 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. Here, we subtracted 5 from both sides of \(16 + m = 32\) to get \((16 + m)-5 = 32 - 5\), so this uses the Subtraction Property of Equality. The other properties (Multiplication, Division, Addition) involve operations other than subtracting the same number from both sides, so they do not apply here.

Answer:

D. Subtraction Property of Equality