Solve the rational equation: $ \frac{x}{x+1} \cdot \frac{x+8}{2x} = \frac{5}{x+1} $ a. $ x = 2 $ b. \(...

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8. Solve the rational equation: $ \frac{x}{x+1} \cdot \frac{x+8}{2x} = \frac{5}{x+1} $ a. $ x = 2 $ b. $ x = 0 $ c. $ x = -1 $ d. No solution

SnapAndSolve AI · Accepted Answer

First, simplify the equation:$ \frac{x}{x+1} \cdot \frac{x+8}{2x} = \frac{5}{x+1} $Multiply both sides by $ x+1 $ to eliminate the denominator:$ x \cdot \frac{x+8}{2x} = 5 $Cancel $ x $ in the numerator and denominator:$ \frac{x+8}{2} = 5 $Multiply both sides by 2:$ x+8 = 10 $Subtract 8 from both sides:$ x = 2 $The solution is a. $ x = 2 $

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Solve the rational equation: \( \frac{x}{x+1} \cdot \frac{x+8}{2x} = \frac{5}{x+1} \) a. \( x = 2 \) b. \(...

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