Select all of the equations below that are equivalent to: t − u = 12 Use properties of equality. Multi-select Choices: (A)t − u − 10 = 2 (B)t − u − 5 = 9 (C)t − u − 8 = 4 (D)t − u − 2 = 10

Question

Select all of the equations below that are equivalent to:  t − u = 12 Use properties of equality.    Multi-select Choices: (A)t  −  u  −  10 = 2 (B)t  −  u  −  5 = 9 (C)t  −  u  −  8 = 4 (D)t  −  u  −  2 = 10

Bytelearn · Accepted Answer

Given Equation Analysis: We are given the equation t − u = 12. To find equivalent equations, we can add or subtract the same value from both sides of the equation. Let's start by checking option (A).Option (A) Evaluation: For option (A) t − u − 10 = 2, we can try to make it look like the original equation by adding 10 to both sides. t − u − 10 + 10 = 2 + 10 t − u = 12 This is the same as the original equation, so (A) is equivalent.Option (B) Evaluation: Now let's check option (B) t − u − 5 = 9. We add 5 to both sides to see if it matches the original equation. t − u − 5 + 5 = 9 + 5 t − u = 14 This does not match the original equation, so (B) is not equivalent.Option (C) Evaluation: Next, we check option (C) t − u − 8 = 4. We add 8 to both sides to see if it matches the original equation. t − u − 8 + 8 = 4 + 8 t − u = 12 This is the same as the original equation, so (C) is equivalent.Option (D) Evaluation: Finally, we check option (D) t − u − 2 = 10. We add 2 to both sides to see if it matches the original equation. t − u − 2 + 2 = 10 + 2 t − u = 12 This is the same as the original equation, so (D) is equivalent.

Select all of the equations below that are equivalent to: $\newline$ $t - u = 12$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $t - u - 10 = 2$ $\newline$ (B) $t - u - 5 = 9$ $\newline$ (C) $t - u - 8 = 4$ $\newline$ (D) $t - u - 2 = 10$

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