Question 1092196
<br>{{{(3/2)a-8 = 11}}}<br>
There are many different paths to the solution; different people will have preferences for different methods.  Here is how I would solve the problem.<br>
(1) Get the term containing the variable by itself by adding 8 to both sides of the equation<br>
{{{(3/2)a = 19}}}<br>
(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.<br>
{{{a = (2/3)*19 = 38/3}}}<br>
The solution is a = 38/3, or 12 2/3.<br>