Solving equations with algebraic fractions

Lessons

1. Solve the following rational equations:
   1. $3-\frac{3}{x}=1+\frac{1}{x}$
   2. $2x+\frac{15}{x}=13$
2. Solving Rational Equations by cross multiplying
   State the non-permissible values for the variable x, then solve algebraically.
   1. $\frac{8}{x+4}=\frac{3}{x-1}$
   2. $\frac{2x-2}{6x-1}=\frac{3x+4}{9x+5}$
3. Solve
   $\frac{2}{x-9}+\frac{20}{x+9}=\frac{80}{x^2-81}$
4. Solve the following equations algebraically:
   1. $\frac{2}{x+2}+\frac{3}{x-2}=1$
   2. $\frac{2t-3}{t-1}-\frac{3t+1}{t+2}=-1$
5. Solving Rational Equations by factoring
   State the non-permissible values for the variables, then solve algebraically.
   1. $\frac{x^2-5x+4}{(x-1)}=-4$
   2. $\frac{x-1}{x^2-1}=\frac{1}{2x-3}$