The following is an indirect proof of the Division Property of Equality: For real numbers, a, b, and c, if a = b and c ≠ 0, then a over c equals b over c.

Assume a over c does not equal b over c. According to the given information, a = b. By the Multiplication Property of Equality, one can multiply the same number to both sides of an equation without changing the equation. Therefore, ac over c does not equal bc over c. Through division, the c's cancel and ______. This contradicts the given information so a over c equals b over c.

Which statement accurately completes the proof?

Question

The following is an indirect proof of the Division Property of Equality: For real numbers, a, b, and c, if a = b and c ≠ 0, then a over c equals b over c.

Assume a over c does not equal b over c. According to the given information, a = b. By the Multiplication Property of Equality, one can multiply the same number to both sides of an equation without changing the equation. Therefore, ac over c does not equal bc over c. Through division, the c's cancel and ______. This contradicts the given information so a over c equals b over c.

Which statement accurately completes the proof?

anonymous · Answer

Which statement accurately completes the proof?

 a over c equals b over c

 a c over c does not equal b c over c

 a = b

 a ≠ b

anonymous · Answer

what was your answer? @EddieVanHalen