Chapter 6.6, Problem 84ES

To determine

(a)

To discuss two different methods we can use to solve the equation as a group

  $\frac{x+3}{5}=\frac{x}{4}$

To determine

(b)

To solve the equation by obtaining a common denominator and by cross multiplying the equation and to check the result of both the method.

To determine

(c)

To create another equation by taking the reciprocal of each term in the equation in part a, compare the result and explain that the reciprocal of the answer we obtained in part b will be the solution to this equation.

(d)

To determine

To solve the equation we determined in part c and compare our work with other group members and to check whether the conclusion we get in part c was correct or not.

(e)

To determine

To solve the following equation

  $\frac{1}{x}+\frac{1}{3}=\frac{2}{x}$

(f)

To determine

To create another equation by taking the reciprocal of each term in the equation in part a, compare the result and explain that the reciprocal of the answer we obtained in part b will be the solution to this equation.

(g)

To determine

To solve the equation we determined in part f and compare our work with other group members and to check whether the conclusion we get in part f was correct or not.

(h)

To determine

To discuss the relationship between the solution of the below equations

  $\begin{array}{l}\frac{7}{x-9}=\frac{3}{x}\\ \frac{x-9}{7}=\frac{x}{3}\end{array}$