Select all of the equations below that are equivalent to: 20 = y − z Use properties of equality. Multi-select Choices: (A)16 = y − z − 4 (B)7 = y − z − 13 (C)18 = y − z − 2 (D)8 = y − z − 12

Question

Select all of the equations below that are equivalent to:  20 = y − z Use properties of equality.    Multi-select Choices: (A)16 = y  −  z  −  4 (B)7 = y  −  z  −  13 (C)18 = y  −  z  −  2 (D)8 = y  −  z  −  12

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Manipulate Original Equation: To determine if an equation is equivalent to 20 = y − z, 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) 16 = y − z − 4. To check if it's equivalent, we can add 4 to both sides of the original equation. 20 + 4 = y − z + 4 24 = y − z This is not equivalent to 16 = y − z − 4.Check Choice (B): Now let's check choice (B) 7 = y − z − 13. We add 13 to both sides of the original equation. 20 + 13 = y − z + 13 33 = y − z This is not equivalent to 7 = y − z − 13.Check Choice (C): Next, we examine choice (C) 18 = y − z − 2. We add 2 to both sides of the original equation. 20 + 2 = y − z + 2 22 = y − z This is not equivalent to 18 = y − z − 2.Check Choice (D): Finally, we look at choice (D) 8 = y − z − 12. We add 12 to both sides of the original equation. 20 + 12 = y − z + 12 32 = y − z This is not equivalent to 8 = y − z − 12.

Select all of the equations below that are equivalent to: $\newline$ $20 = y - z$ $\newline$ Use properties of equality. $\newline$ $\newline$ Multi-select Choices: $\newline$ (A) $16 = y - z - 4$ $\newline$ (B) $7 = y - z - 13$ $\newline$ (C) $18 = y - z - 2$ $\newline$ (D) $8 = y - z - 12$

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