Select all of the equations below that are equivalent to: 10 + b = 15 Use properties of equality. Multi-select Choices: (A)3 + 10 + b = 18 (B)10 + b + 4 = 19 (C)12 + b = 2 + 15 (D)2 + 10 + b = 17

Question

Select all of the equations below that are equivalent to:  10 + b = 15 Use properties of equality.    Multi-select Choices: (A)3  +  10  +  b = 18 (B)10  +  b  +  4 = 19 (C)12  +  b = 2  +  15 (D)2  +  10  +  b = 17

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Check Equation Balance: To determine if an equation is equivalent to 10 + b = 15, we need to check if the operations on both sides of the equation maintain the same balance as the original equation. Let's start with option (A): 3 + 10 + b = 18 We simplify the left side by adding 3 and 10 together. 3 + 10 = 13 So, 13 + b should equal 18. Now, we subtract 13 from both sides to isolate b. 18 - 13 = 5 So, if b = 5, then the equation is equivalent to the original equation.Option (A) Evaluation: Let's check if b = 5 satisfies the original equation. 10 + b = 15 10 + 5 = 15 15 = 15 This is true, so option (A) is equivalent to the original equation.Option (B) Evaluation: Now let's check option (B): 10 + b + 4 = 19 We simplify the left side by adding 10 and 4 together. 10 + 4 = 14 So, 14 + b should equal 19. Now, we subtract 14 from both sides to isolate b. 19 - 14 = 5 So, if b = 5, then the equation is equivalent to the original equation.Option (C) Evaluation: Let's check if b = 5 satisfies the original equation. 10 + b = 15 10 + 5 = 15 15 = 15 This is true, so option (B) is equivalent to the original equation.Option (D) Evaluation: Next, let's check option (C): 12 + b = 2 + 15 We simplify the right side by adding 2 and 15 together. 2 + 15 = 17 So, 12 + b should equal 17. Now, we subtract 12 from both sides to isolate b. 17 - 12 = 5 So, if b = 5, then the equation is equivalent to the original equation.Let's check if b = 5 satisfies the original equation. 10 + b = 15 10 + 5 = 15 15 = 15 This is true, so option (C) is equivalent to the original equation.Finally, let's check option (D): 2 + 10 + b = 17 We simplify the left side by adding 2 and 10 together. 2 + 10 = 12 So, 12 + b should equal 17. Now, we subtract 12 from both sides to isolate b. 17 - 12 = 5 So, if b = 5, then the equation is equivalent to the original equation.Let's check if b = 5 satisfies the original equation. 10 + b = 15 10 + 5 = 15 15 = 15 This is true, so option (D) is equivalent to the original equation.

Select all of the equations below that are equivalent to: $\newline$ $10 + b = 15$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $3 + 10 + b = 18$ $\newline$ (B) $10 + b + 4 = 19$ $\newline$ (C) $12 + b = 2 + 15$ $\newline$ (D) $2 + 10 + b = 17$

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