3 years ago

Which is the simplified rational expression for 9x-5/4x-1 + (3x+8/4x-1 - 5x+3/4x-1)

1 answer:

6 0

Step-by-step explanation:

$\frac{9x - 5}{4x - 1} + ( \frac{3x + 8}{4x - 1} - \frac{5x + 3}{4x - 1} ) \\ \\ = \frac{9x - 5}{4x - 1} + ( \frac{(3x + 8) - (5x + 3)}{4x - 1}) \\ \\ = \frac{9x - 5}{4x - 1} + ( \frac{3x + 8 - 5x - 3}{4x - 1}) \\ \\ = \frac{9x - 5}{4x - 1} + \frac{5 - 2x }{4x - 1} \\ \\ = \frac{9x - 5 + 5 - 2x}{4x - 1} \\ \\ \red{ \boxed{ \therefore \: \frac{9x - 5}{4x - 1} + ( \frac{3x + 8}{4x - 1} - \frac{5x + 3}{4x - 1} )= \purple{\frac{7x}{4x - 1} }}} \\$

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