Solving rational equations

Lessons

• 1.
  Solve the following rational equations:
  a)

  $3-\frac{3}{x}=1+\frac{1}{x}$
  
  
  b)

  $2x+\frac{15}{x}=13$
  
  

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• 2.
  Solving Rational Equations by cross multiplying
  State the non-permissible values for the variable x, then solve algebraically.
  a)

  $\frac{8}{x+4}=\frac{3}{x-1}$
  
  
  b)

  $\frac{2x-2}{6x-1}=\frac{3x+4}{9x+5}$
  
  

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• 3.
  Solve
  $\frac{2}{x-9}+\frac{20}{x+9}=\frac{80}{x^2-81}$

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• 4.
  Solve the following equations algebraically:
  a)

  $\frac{2}{x+2}+\frac{3}{x-2}=1$
  
  
  b)

  $\frac{2t-3}{t-1}-\frac{3t+1}{t+2}=-1$
  
  

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• 5.
  Solving Rational Equations by factoring
  State the non-permissible values for the variables, then solve algebraically.
  a)

  $\frac{x^2-5x+4}{(x-1)}=-4$
  
  
  b)

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

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