Question

Solve for 'a' in the equation: 23% - a * (-2) = 2% - 2a.

a. a = 5.75
b. a = -5.75
c. a = 4.5
d. a = -4.5

Answer 1

To solve for 'a' in the equation, we simplify the equation by combining like terms and subtracting. Solving further, we divide both sides by -6 to find the value of 'a'. The correct answer is d. a = -4.5.

Step-by-step explanation:

To solve for 'a' in the equation: 23% - a * (-2) = 2% - 2a, we can start by simplifying both sides of the equation:

23% + 2a = 2% + 2a * (-2)

Now, we can subtract 2a from both sides:

23% = 2% + 2a * (-2) - 2a

Simplifying further:

23% = 2% - 4a - 2a

Combine like terms:

23% = 2% - 6a

Subtract 2% from both sides:

23% - 2% = -6a

Now, divide both sides by -6 to solve for 'a':

a = (23% - 2%) / -6

a = 21% / -6

a = -3.5%

Therefore, the correct answer is d. a = -4.5.