Solving Equations by Cross Multiplying

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What is cross multiplying in the context of solving rational equations?

Back

Cross multiplying is a method used to eliminate fractions in an equation by multiplying the numerator of one fraction by the denominator of the other fraction, setting the two products equal to each other.

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x = 2

Front

What should you check for after solving a rational equation?

Back

You should check for extraneous solutions, which are solutions that do not satisfy the original equation.

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x = 27

Front

What is an extraneous solution?

Back

An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

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x = 2

Front

What is the first step in solving a rational equation by cross multiplying?

Back

The first step is to ensure that both sides of the equation are in the form of a fraction.

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Back

x = 1/2 or x = -5 (check for extraneous solutions).

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What does it mean if a rational equation has no solution?

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It means that there are no values for the variable that will satisfy the equation, often due to restrictions like division by zero.

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Back

x = 1 or x = 3/2 (check for extraneous solutions).