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How do you solve the rational equation #1/x = 2/(x - 3)#?

Answer 1

Kennedy Adams

x = - 3

' cross multiply ' to obtain :

2x = x - 3

subtracting x from both sides : 2x - x = x-3-x

hence x = - 3

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Answer 2

Julia Adams

To solve the rational equation 1/x = 2/(x - 3), you can start by cross-multiplying. Multiply both sides of the equation by x(x - 3). This will eliminate the denominators. Simplify the equation by distributing and combining like terms. Then, solve for x by isolating it on one side of the equation. Finally, check your solution by substituting it back into the original equation to ensure it satisfies the equation.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.