Solving Linear and rational equations

Rewrite the equation 6x - 3y = 12 to create equivalent equations. Select all that apply:

 $x\left(x+14\right)=5$  

 $\frac{6}{x-3}-\frac{1}{x^2+3x-18}=\frac{1}{x-3}$  

Solve the following: $\frac{x}{2x-3}=\frac{3x}{x+11}$   

A class of 45 students is divided into two groups. If one group has 9 students less than the other, how many students are in the smaller group?

Solve the following: $\frac{2}{x-3}=\frac{5}{2x+1}$