Question

Which of the following equations are equivalent to 2?

A) 53 + 6 = 3 - (42 + 12)
B) (5z + 6) = -41 - 9
C) 2
D) 5 + 31 = 3 - (43 + 12)

Answer 1

The equation equivalent to 2 is C) 2.

Step-by-step explanation:

To determine which of the given equations are equivalent to 2, we need to solve each equation and check if the solution is indeed equal to 2. Let's evaluate each equation:

A) 53 + 6 = 3 - (42 + 12)
Combining like terms: 59 = 3 - 54
59 = -51 (not equivalent to 2)

B) (5z + 6) = -41 - 9
Combining like terms: 5z + 6 = -50
Subtracting 6 from both sides: 5z = -56
Dividing by 5: z = -11.2 (not equivalent to 2)

C) 2
2 is equivalent to 2!

D) 5 + 31 = 3 - (43 + 12)
Combining like terms: 36 = 3 - 55
36 = -52 (not equivalent to 2)

Therefore, the only equation equivalent to 2 is C) 2.