Solving rational equations

Solve the equation:
 $\frac{x+12}{3}=\frac{2x+3}{x+2}$  

Solve the equation.
 $\frac{3x}{x+1}=\frac{12}{x^2-1}+2$  

Solve the equation:
 $\frac{1}{6x^2}=\frac{1}{2x}+\frac{7}{6x^2}$  

Solve the equation:
 $\frac{6x^2}{x^2-16}-\frac{3x}{x+4}=\frac{4}{x-4}$  

A student solved the equation  $\frac{5}{x-4}=\frac{x}{x-4}$  and got the solutions 4 and 5. Which, if either, of these is extraneous? Explain

Give an example of a rational equation that you would solve using cross multiplication.

What is the solution of  $\frac{3}{x+2}=\frac{6}{x-1}$  ?

• -5

• -4

• -1

• 4