Select all of the equations below that are equivalent to: m + n = 14 Use properties of equality. Multi-select Choices: (A)m + n + 3 = 17 (B)4 + m + n = 18 (C)m + n + 4 = 16 (D)6 + m + n = 20

Question

Select all of the equations below that are equivalent to:  m + n = 14 Use properties of equality.    Multi-select Choices: (A)m  +  n  +  3 = 17 (B)4  +  m  +  n = 18 (C)m  +  n  +  4 = 16 (D)6  +  m  +  n = 20

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Check Equation Equivalence: To determine if an equation is equivalent to m + n = 14, we can check if the additional terms on both sides of the equation cancel each other out or if they can be manipulated to show the original equation.Choice (A) Verification: For choice (A) m + n + 3 = 17, we can subtract 3 from both sides to see if we get the original equation. m + n + 3 - 3 = 17 - 3 m + n = 14 This shows that choice (A) is equivalent to the original equation.Choice (B) Verification: For choice (B) 4 + m + n = 18, we can subtract 4 from both sides to see if we get the original equation. 4 + m + n - 4 = 18 - 4 m + n = 14 This shows that choice (B) is equivalent to the original equation.Choice (C) Verification: For choice (C) m + n + 4 = 16, we can subtract 4 from both sides to see if we get the original equation. m + n + 4 - 4 = 16 - 4 m + n = 12 This shows that choice (C) is not equivalent to the original equation because we get m + n = 12 instead of m + n = 14.Choice (D) Verification: For choice (D) 6 + m + n = 20, we can subtract 6 from both sides to see if we get the original equation. 6 + m + n - 6 = 20 - 6 m + n = 14 This shows that choice (D) is equivalent to the original equation.

Select all of the equations below that are equivalent to: $\newline$ $m + n = 14$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $m + n + 3 = 17$ $\newline$ (B) $4 + m + n = 18$ $\newline$ (C) $m + n + 4 = 16$ $\newline$ (D) $6 + m + n = 20$

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