Exercise 50 Page 98

To solve an equation, we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side using the Properties of Equality. In this case, we will start by eliminating fractions. First, we need to find their least common denominator. 2/3+n+6=3/4 ⟹ 2/3+n/1+6/1=3/4In this equation, our denominators are 1, 3, and 4. Therefore, the least common denominator is 12. To eliminate the fractions, we have to multiply both sides of the equation by 12. Then, we will solve for n.

The solution to the equation is n=- 7112. Although it is a perfectly valid solution, we can also rewrite it as a mixed number.

The proper notation for a mixed number makes our final solution n=-5 1112.