Select all of the equations below that are equivalent to: 19 = m − n Use properties of equality. Multi-select Choices: (A)12 = m − n − 7 (B)16 = m − n − 3 (C)13 = m − n − 6 (D)3 = m − n − 16

Question

Select all of the equations below that are equivalent to:  19 = m − n Use properties of equality.    Multi-select Choices: (A)12 = m  −  n  −  7 (B)16 = m  −  n  −  3 (C)13 = m  −  n  −  6 (D)3 = m  −  n  −  16

Bytelearn · Accepted Answer

Check Option (A): We are given the equation 19 = m − n. To find equivalent equations, we need to add or subtract the same value from both sides of the equation. Let's start by checking option (A). We can rewrite the equation in (A) as m − n = 12 + 7. If we add 7 to both sides of the original equation, we get 19 + 7 = m − n + 7, which simplifies to 26 = m − n. This is not equal to 12 + 7, so option (A) is not equivalent to the original equation.Check Option (B): Now let's check option (B). We can rewrite the equation in (B) as m − n = 16 + 3. If we add 3 to both sides of the original equation, we get 19 + 3 = m − n + 3, which simplifies to 22 = m − n. This is not equal to 16 + 3, so option (B) is not equivalent to the original equation.Check Option (C): Next, let's check option (C). We can rewrite the equation in (C) as m − n = 13 + 6. If we add 6 to both sides of the original equation, we get 19 + 6 = m − n + 6, which simplifies to 25 = m − n. This is not equal to 13 + 6, so option (C) is not equivalent to the original equation.Check Option (D): Finally, let's check option (D). We can rewrite the equation in (D) as m − n = 3 + 16. If we add 16 to both sides of the original equation, we get 19 + 16 = m − n + 16, which simplifies to 35 = m − n. This is not equal to 3 + 16, so option (D) is not equivalent to the original equation.

Select all of the equations below that are equivalent to: $\newline$ $19 = m - n$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $12 = m - n - 7$ $\newline$ (B) $16 = m - n - 3$ $\newline$ (C) $13 = m - n - 6$ $\newline$ (D) $3 = m - n - 16$

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