Select all of the equations below that are equivalent to: b − c = 13 Use properties of equality. Multi-select Choices: (A)b − c − 9 = 4 (B)b − c − 8 = 5 (C)b − c − 7 = 6 (D)b − c − 2 = 11

Question

Select all of the equations below that are equivalent to:  b − c = 13 Use properties of equality.    Multi-select Choices: (A)b  −  c  −  9 = 4 (B)b  −  c  −  8 = 5 (C)b  −  c  −  7 = 6 (D)b  −  c  −  2 = 11

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Identify original equation: Identify the original equation. The original equation is b − c = 13. We need to find which of the given choices are equivalent to this equation by using properties of equality.Analyze choice (A): Analyze choice (A). For choice (A) b − c − 9 = 4, add 9 to both sides to see if it is equivalent to the original equation. b − c − 9 + 9 = 4 + 9 b − c = 13 This is equivalent to the original equation.Analyze choice (B): Analyze choice (B). For choice (B) b − c − 8 = 5, add 8 to both sides to see if it is equivalent to the original equation. b − c − 8 + 8 = 5 + 8 b − c = 13 This is equivalent to the original equation.Analyze choice (C): Analyze choice (C). For choice (C) b − c − 7 = 6, add 7 to both sides to see if it is equivalent to the original equation. b − c − 7 + 7 = 6 + 7 b − c = 13 This is equivalent to the original equation.Analyze choice (D): Analyze choice (D). For choice (D) b − c − 2 = 11, add 2 to both sides to see if it is equivalent to the original equation. b − c − 2 + 2 = 11 + 2 b − c = 13 This is equivalent to the original equation.

Select all of the equations below that are equivalent to: $\newline$ $b - c = 13$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $b - c - 9 = 4$ $\newline$ (B) $b - c - 8 = 5$ $\newline$ (C) $b - c - 7 = 6$ $\newline$ (D) $b - c - 2 = 11$

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