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The Elimination Method for solving a system of equations is based on an extension of which property?
AThe Addition Property of Equality
BThe Subtraction Property of Equality
CThe Multiplication Property of Equality
DThe Division Property of Equality
Answer & Solution
Correct answer: A. The Addition Property of Equality
1. This method is based directly on the Addition Property of Equality.
2. It extends that property to say that when equal quantities are added to both sides of an equation, the results stay equal.
3. Subtraction, multiplication, and division properties are used elsewhere in algebra, but none of them is the property the elimination method is built on.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 5 "Systems of Linear Equations", section 5.3 Solve Systems of Equations by Elimination_
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