Select all of the equations below that are equivalent to: 18 − c = 15 Use properties of equality. Multi-select Choices: (A)18 − c − 10 = 6 (B)18 − c − 12 = 3 (C)18 − c − 2 = 13 (D)18 − c − 12 = 5

Question

Select all of the equations below that are equivalent to:  18 − c = 15 Use properties of equality.    Multi-select Choices: (A)18  −  c  −  10 = 6 (B)18  −  c  −  12 = 3 (C)18  −  c  −  2 = 13 (D)18  −  c  −  12 = 5

Bytelearn · Accepted Answer

Original Equation: We start with the original equation: 18 − c = 15. To find equivalent equations, we can add or subtract the same value from both sides of the equation. Let's check each option by applying the properties of equality.Option (A) Analysis: For option (A), we subtract 10 from both sides of the original equation: (18 − c) − 10 = 15 − 10. Calculating the right side, we get 15 − 10 = 5. So, the equation becomes 18 − c − 10 = 5, which is not the same as option (A), which states 18 − c − 10 = 6.Option (B) Analysis: For option (B), we subtract 12 from both sides of the original equation: (18 − c) − 12 = 15 − 12. Calculating the right side, we get 15 − 12 = 3. So, the equation becomes 18 − c − 12 = 3, which matches option (B).Option (C) Analysis: For option (C), we subtract 2 from both sides of the original equation: (18 − c) − 2 = 15 − 2. Calculating the right side, we get 15 − 2 = 13. So, the equation becomes 18 − c − 2 = 13, which matches option (C).Option (D) Analysis: For option (D), we subtract 12 from both sides of the original equation: (18 − c) − 12 = 15 − 12. Calculating the right side, we get 15 − 12 = 3. So, the equation becomes 18 − c − 12 = 3, which is not the same as option (D), which states 18 − c − 12 = 5.

Select all of the equations below that are equivalent to: $\newline$ $18 - c = 15$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $18 - c - 10 = 6$ $\newline$ (B) $18 - c - 12 = 3$ $\newline$ (C) $18 - c - 2 = 13$ $\newline$ (D) $18 - c - 12 = 5$

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