Question

question 3
10 pts
g.gsr.3.4 (lc)
the ______ states the same value can be subtracted from both sides of an equation and the equation will still be true.

• subtraction property of equality
• addition property of equality
• reflexive property
• substitution property

Explanation:

To solve this, we analyze each option:

• Subtraction Property of Equality: Defined as subtracting the same value from both sides of an equation keeps it true, matching the description.
• Addition Property of Equality: Involves adding, not subtracting, the same value.
• Reflexive Property: States a quantity is equal to itself (e.g., \(a = a\)), not related to subtraction.
• Substitution Property: Allows replacing a quantity with an equal one, not about subtracting from both sides.

Answer:

A. Subtraction Property of Equality