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Solve Each Algebraic Fraction Equation

Solve Each Algebraic Fraction Equation

Secondary 3

Solve the following equations, giving your answers correct to \(3\) significant figures where necessary.

  1. \(\frac{5}{x-1}-\frac{4}{x+3}=7\)
  2. \(\frac{2}{2x+1}+\frac{1}{2x-1}=\frac{2}{5}\)
  3. \(\frac{2}{x+2}-\frac{x}{x+3}=1\)
  4. \(\frac{3}{x-5}-5=\frac{2x}{3-x}\)
  5. \(5x-3+\frac{7}{x-2}=19\)

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Answer:(i) x = 1.64 or -3.49; (ii) x = 3.65 or 0.103; (iii) x = 0 or -5/2; (iv) x = 4 or 7; (v) x = 17/5 or 3.

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