EQUATIONS INVOLVING FRACTIONS (RATIONAL EQUATIONS)


Note:



Solve for x in the following equation.




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Problem 5.3a:

$\displaystyle \frac{2x+5}{x-2}=\displaystyle \frac{x+7}{x+2}+\displaystyle \frac{x-6}{
x-1}$

Solution



Problem 5.3b:

$\displaystyle \frac{3x-2}{x+7}=\displaystyle \frac{2x+11}{x-9}+\displaystyle \frac{x-1
}{x+5}$

Solution



Problem 5.3c:

$\displaystyle \frac{10x+3}{5x-1}=\displaystyle \frac{3x+7}{3x-8}+\displaystyle \frac{
x+2}{x+8}$

Solution



Problem 5.3d:

$\displaystyle \frac{x+5}{x-5}=\displaystyle \frac{3x-1}{x+5}+\displaystyle \frac{3x+2
}{3x}$

Solution



Problem 5.3e:

$\displaystyle \frac{3x+7}{8x-1}=\displaystyle \frac{3x-1}{7x+6}+\displaystyle \frac{
2x+2}{15x+5}$

Solution





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Author: Nancy Marcus

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