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The Division Property of Equality states that if a equals b and c is not zero, what must also be true?
Aa-c=b-c
Bac=bc
Ca+c=b+c
Da/c=b/c
Answer & Solution
Correct answer: D. a/c=b/c
1. The property allows both sides of an equation to be divided by the same non-zero number c without changing whether it is true.
2. If a equals b, dividing a and b by c keeps both sides equal to each other.
3. Subtracting c, multiplying by c, or adding c are different properties entirely, not the division property.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.2 Solve Equations using the Division and Multiplication Properties of Equality_
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