Question

Solve for a in the equation, 210 = -5 (-7 - 5a )

solve for a?

A: a = -37
B: a = 35
C: a = -35
D: a = 37.

Answer 1

To solve the equation 210 = -5 (-7 - 5a) for a, distribute the -5, combine like terms, and then divide by the coefficient of a to find that a equals 7. The options provided do not match this correct answer.

Step-by-step explanation:

The student is asking to solve the equation 210 = -5 (-7 - 5a) for a. First, distribute the -5 inside the parentheses:

-5(-7) - 5(-5a) = 210

35 + 25a = 210

Next, subtract 35 from both sides of the equation:

25a = 210 - 35

25a = 175

Now, divide both sides by 25 to isolate a:

a = 175 / 25

a = 7

It appears there might have been a misunderstanding, as the options provided do not include a = 7, which is the correct answer based on the given equation.