Select all of the equations below that are equivalent to: 9 = 16 + n Use properties of equality. Multi-select Choices: (A)5 = 16 + n − 4 (B)4 = 16 + n − 7 (C)3 = 16 + n − 5 (D)7 = 16 + n − 3

Question

Select all of the equations below that are equivalent to:  9 = 16 + n Use properties of equality.    Multi-select Choices: (A)5 = 16  +  n  −  4 (B)4 = 16  +  n  −  7 (C)3 = 16  +  n  −  5 (D)7 = 16  +  n  −  3

Bytelearn · Accepted Answer

Original Equation: We start with the original equation: 9 = 16 + n. To find equivalent equations, we can add or subtract the same value from both sides of the equation. Let's check each option by applying the properties of equality and see if they are equivalent to the original equation.Check Option (A): Option (A) is 5 = 16 + n - 4. To check if it's equivalent, we add 4 to both sides of the original equation: 9 + 4 = 16 + n + 4. This simplifies to 13 = 16 + n + 4. But 13 does not equal 20, so option (A) is not equivalent.Check Option (B): Option (B) is 4 = 16 + n - 7. To check if it's equivalent, we add 7 to both sides of the original equation: 9 + 7 = 16 + n + 7. This simplifies to 16 = 16 + n + 7. But 16 does not equal 23, so option (B) is not equivalent.Check Option (C): Option (C) is 3 = 16 + n - 5. To check if it's equivalent, we add 5 to both sides of the original equation: 9 + 5 = 16 + n + 5. This simplifies to 14 = 16 + n + 5. But 14 does not equal 21, so option (C) is not equivalent.Check Option (D): Option (D) is 7 = 16 + n - 3. To check if it's equivalent, we add 3 to both sides of the original equation: 9 + 3 = 16 + n + 3. This simplifies to 12 = 16 + n + 3. But 12 does not equal 19, so option (D) is not equivalent.

Select all of the equations below that are equivalent to: $\newline$ $9 = 16 + n$ $\newline$ Use properties of equality. $\newline$ $\newline$ Multi-select Choices: $\newline$ (A) $5 = 16 + n - 4$ $\newline$ (B) $4 = 16 + n - 7$ $\newline$ (C) $3 = 16 + n - 5$ $\newline$ (D) $7 = 16 + n - 3$

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