SOLUTION: How do I work the following equation? 3/2a-8=11 I know the answer is 12 2/3 but do not know how to come to that answer.

Algebra.Com
Question 1092196: How do I work the following equation?
3/2a-8=11
I know the answer is 12 2/3 but do not know how to come to that answer.

Found 3 solutions by MathLover1, ikleyn, greenestamps:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

....both sides multiply by to eliminate fraction






Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
On solving linear equation in one unknown see the lesson
    - HOW TO solve a linear equation
in this site.



Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!



There are many different paths to the solution; different people will have preferences for different methods. Here is how I would solve the problem.

(1) Get the term containing the variable by itself by adding 8 to both sides of the equation



(2) Get rid of the coefficient on the variable by dividing both sides of the equation by (3/2). Since dividing by 3/2 is the same as multiplying by the reciprocal 2/3, multiply both sides of the equation by 2/3.



The solution is a = 38/3, or 12 2/3.

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