Select all of the equations below that are equivalent to: 9n = 14 Use properties of equality. Multi-select Choices: (A)9n − 3 = 11 (B)9n − 7 = 7 (C)9n − 2 = 12 (D)9n − 10 = 4

Question

Select all of the equations below that are equivalent to:  9n = 14 Use properties of equality.    Multi-select Choices: (A)9n  −  3 = 11 (B)9n  −  7 = 7 (C)9n  −  2 = 12 (D)9n  −  10 = 4

Bytelearn · Accepted Answer

Manipulate Original Equation: To determine if an equation is equivalent to 9n = 14, we can manipulate the original equation using properties of equality and compare it to each choice.Check Choice (A): Let's start with choice (A): 9n − 3 = 11. We can add 3 to both sides of the original equation (9n = 14) to see if it matches choice (A). 9n + 3 = 14 + 3 9n + 3 = 17 This does not match choice (A), which states 9n − 3 = 11.Check Choice (B): Now let's check choice (B): 9n − 7 = 7. We can add 7 to both sides of the original equation (9n = 14) to see if it matches choice (B). 9n + 7 = 14 + 7 9n + 7 = 21 This does not match choice (B), which states 9n − 7 = 7.Check Choice (C): Next, we examine choice (C): 9n − 2 = 12. We can add 2 to both sides of the original equation (9n = 14) to see if it matches choice (C). 9n + 2 = 14 + 2 9n + 2 = 16 This does not match choice (C), which states 9n − 2 = 12.Check Choice (D): Finally, let's look at choice (D): 9n − 10 = 4. We can add 10 to both sides of the original equation (9n = 14) to see if it matches choice (D). 9n + 10 = 14 + 10 9n + 10 = 24 This does not match choice (D), which states 9n − 10 = 4.

Select all of the equations below that are equivalent to: $\newline$ $9n = 14$ $\newline$ Use properties of equality. $\newline$ $\newline$ Multi-select Choices: $\newline$ (A) 9n − 3 = 11 $\newline$ (B) 9n − 7 = 7 $\newline$ (C) 9n − 2 = 12 $\newline$ (D) 9n − 10 = 4

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Select all of the equations below that are equivalent to:\newline9n=149n = 149n=14\newlineUse properties of equality.\newline\newlineMulti-select Choices:\newline(A) 9n − 3 = 11\newline(B) 9n − 7 = 7\newline(C) 9n − 2 = 12\newline(D) 9n − 10 = 4

Select all of the equations below that are equivalent to: $\newline$ $9n = 14$ $\newline$ Use properties of equality. $\newline$ $\newline$ Multi-select Choices: $\newline$ (A) 9n − 3 = 11 $\newline$ (B) 9n − 7 = 7 $\newline$ (C) 9n − 2 = 12 $\newline$ (D) 9n − 10 = 4