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Rational equations Calculator

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Example
Created on 2024-06-20Asked by Sebastian Martin (Solvelet student)
Solve the rational equation: xx+1=23. \frac{x}{x+1} = \frac{2}{3}.

Solution

To solve the rational equation xx+1=23\frac{x}{x+1} = \frac{2}{3}: 1. **Cross Multiply:** 3x=2(x+1). 3x = 2(x + 1). 2. **Distribute and Simplify:** 3x=2x+2. 3x = 2x + 2. 3x−2x=2. 3x - 2x = 2. x=2. x = 2. Therefore, the solution to the equation is x=2 x = 2 . Solved on Solvelet with Basic AI Model
Some of the related questions asked by Noah Lee on Solvelet
1. Solve the equation x+3x−2=2 \frac{x + 3}{x - 2} = 2 .2. Find the value(s) of x x that make the rational expression x2−1x−1 \frac{x^2 - 1}{x - 1} undefined.,
DefinitionRational Equations are equations that involve rational expressions, that is, one or more fractions whose numerator or denominator are a polynomial. The solution to these usually is focused on getting a common denominator and getting rid of the fractions. For Example; x+1x​=x− 12​ This is a rational equation.
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