Rational equations Calculator

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sin

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Example

Solved Problems

Difficult Problems

Solved example of rational equations

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

Apply fraction cross-multiplication

$2\left(x-1\right)=3\left(x+1\right)$

Grouping all terms to the left side of the equation

$2\left(x-1\right)-3\left(x+1\right)=0$

Solve the product $2\left(x-1\right)$

$2x-2-3\left(x+1\right)=0$

Solve the product $-3\left(x+1\right)$

$-5+2x-3x=0$

Adding $2x$ and $-3x$

$-x-5=0$

We need to isolate the dependent variable $x$, we can do that by subtracting $-5$ from both sides of the equation

$-x=5$

Divide both sides of the equation by $-1$

$x=-5$

Final Answer