Select all of the equations below that are equivalent to: 9 = 7 − t Use properties of equality. Multi-select Choices: (A)16 = 7 − t + 7 (B)10 + 9 = 19 − t (C)4 + 9 = 10 − t (D)19 = 7 − t + 11

Question

Select all of the equations below that are equivalent to:  9 = 7 − t Use properties of equality.    Multi-select Choices: (A)16 = 7  −  t  +  7 (B)10  +  9 = 19  −  t (C)4  +  9 = 10  −  t (D)19 = 7  −  t  +  11

Bytelearn · Accepted Answer

Check Option (A): To determine if an equation is equivalent to 9 = 7 − t, we can perform the same operation on both sides of the original equation and see if we can obtain the new equation. Let's start with option (A) 16 = 7 − t + 7. We can simplify the right side by adding 7 to 7. 7 + 7 = 14, so the equation becomes 16 = 14 − t. This is not equivalent to 9 = 7 − t because 16 ≠ 9.Check Option (B): Now let's check option (B) 10 + 9 = 19 − t. We can simplify the left side by adding 10 to 9. 10 + 9 = 19, so the equation becomes 19 = 19 − t. This is equivalent to 9 = 7 − t because if we subtract 10 from both sides of 19 = 19 − t, we get 9 = 9 − t, which is the same as 9 = 7 − t after substituting 9 for 7 + 2.Evaluate Option (C): Next, we evaluate option (C) 4 + 9 = 10 − t. We can simplify the left side by adding 4 to 9. 4 + 9 = 13, so the equation becomes 13 = 10 − t. This is not equivalent to 9 = 7 − t because 13 ≠ 9.Verify Option (D): Finally, let's check option (D) 19 = 7 − t + 11. We can simplify the right side by adding 7 to 11. 7 + 11 = 18, so the equation becomes 19 = 18 − t. This is not equivalent to 9 = 7 − t because 19 ≠ 9.

Select all of the equations below that are equivalent to: $\newline$ $9 = 7 - t$ $\newline$ Use properties of equality. $\newline$ $\newline$ Multi-select Choices: $\newline$ (A) $16 = 7 - t + 7$ $\newline$ (B) $10 + 9 = 19 - t$ $\newline$ (C) $4 + 9 = 10 - t$ $\newline$ (D) $19 = 7 - t + 11$

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