Tamara J. answered 10/23/12
Math Tutoring - Algebra and Calculus (all levels)
Given [(15 - a) / 3] = -9 , solve for the unknown variable a.
Since you are solving for a, you want to isolate it to one side of the equation. To do this, first multiply both sides of the equation by 3:
3 * [(15 - a) / 3] = 3 * -9 ===> (15 - a) = -27
Now, add 27 to both sides of the equation:
(15 - a) + 27 = -27 + 27 ===> (15 + 27) - a = 0 ===> 42 - a = 0
Add a to both sides of the equation to isolate the a:
42 - a + a = 0 + a ===> 42 + 0 = a ===> 42 = a
Thus, we arrive at the following answer: a = 42
Kevin S.
Concur with Duy's response EXCEPT on the last step:
The text description of the steps is correct,
so -9*3 minus 15 multiplied by -1 in that order
but as an equation it should look more like a = (-1)[(-9*3) - 15]
10/23/12