Select all of the equations below that are equivalent to: b − c = 4 Use properties of equality. Multi-select Choices: (A)b − c + 9 = 14 (B)15 + b − c = 17 (C)6 + b − c = 10 (D)16 + b − c = 20

Question

Select all of the equations below that are equivalent to:  b − c = 4 Use properties of equality.    Multi-select Choices: (A)b  −  c  +  9 = 14 (B)15  +  b  −  c = 17 (C)6  +  b  −  c = 10 (D)16  +  b  −  c = 20

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Identify Equation: Identify the original equation and understand that equivalent equations will have the same value when solved for any variable. Original equation: b − c = 4Check Equation (A): Check equation (A) to see if it is equivalent to the original equation by using properties of equality. Original equation: b − c = 4 Equation (A): b − c + 9 = 14 Subtract 9 from both sides to see if it simplifies to the original equation. b − c + 9 - 9 = 14 - 9 b − c = 5 This is not equivalent to the original equation.Check Equation (B): Check equation (B) to see if it is equivalent to the original equation by using properties of equality. Original equation: b − c = 4 Equation (B): 15 + b − c = 17 Subtract 15 from both sides to see if it simplifies to the original equation. 15 + b − c - 15 = 17 - 15 b − c = 2 This is not equivalent to the original equation.Check Equation (C): Check equation (C) to see if it is equivalent to the original equation by using properties of equality. Original equation: b − c = 4 Equation (C): 6 + b − c = 10 Subtract 6 from both sides to see if it simplifies to the original equation. 6 + b − c - 6 = 10 - 6 b − c = 4 This is equivalent to the original equation.Check Equation (D): Check equation (D) to see if it is equivalent to the original equation by using properties of equality. Original equation: b − c = 4 Equation (D): 16 + b − c = 20 Subtract 16 from both sides to see if it simplifies to the original equation. 16 + b − c - 16 = 20 - 16 b − c = 4 This is equivalent to the original equation.

Select all of the equations below that are equivalent to: $\newline$ $b - c = 4$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $b - c + 9 = 14$ $\newline$ (B) $15 + b - c = 17$ $\newline$ (C) $6 + b - c = 10$ $\newline$ (D) $16 + b - c = 20$

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