Select all of the equations below that are equivalent to: –9 = c − –4 Use properties of equality. Multi-select Choices: (A)81 = –9(c − –4) (B)19 · –9 = 19c − –76 (C)–81 = 9(c − –4) (D)12 · –9 = 12c − –48

Question

Select all of the equations below that are equivalent to:  –9 = c − –4 Use properties of equality.    Multi-select Choices: (A)81 = –9(c  −  –4) (B)19  ·  –9 = 19c  −  –76 (C)–81 = 9(c  −  –4) (D)12  ·  –9 = 12c  −  –48

Bytelearn · Accepted Answer

Simplify Equation: First, let's simplify the original equation by adding 4 to both sides to isolate c. –9 + 4 = c − (–4) + 4 –5 = cCheck Option (A): Now let's check each option to see if it is equivalent to the simplified equation –5 = c.  (A) 81 = –9(c − (–4)) To check if this is equivalent, we need to distribute the –9 and see if the result is 81. 81 = –9c + 36 This is not equivalent because if we add 9c to both sides, we would not get 81 = 36.Check Option (B): (B) 19 · –9 = 19c − (–76) To check if this is equivalent, we need to multiply 19 by –9 and see if the result is equal to the right side of the equation. 19 · –9 = –171 19c + 76 = –171 This is not equivalent because if we subtract 76 from both sides, we would not get 19c = –171.Check Option (C): (C) –81 = 9(c − (–4)) To check if this is equivalent, we need to distribute the 9 and see if the result is –81. –81 = 9c + 36 This is not equivalent because if we subtract 9c from both sides, we would not get –81 = 36.Check Option (D): (D) 12 · –9 = 12c − (–48) To check if this is equivalent, we need to multiply 12 by –9 and see if the result is equal to the right side of the equation. 12 · –9 = –108 12c + 48 = –108 This is not equivalent because if we subtract 48 from both sides, we would not get 12c = –108.

Full solution

More problems from Identify equivalent equations

Related topics