How to solve rational equations

The video tutorial explains how to solve equations involving fractions by eliminating them through multiplication by the least common multiple of the denominators. The process involves finding the common denominator, multiplying each term by it, and solving the resulting equation. The solution is then verified to ensure it does not make the denominator zero, avoiding extraneous solutions.

What is the first step in dealing with fractions in an equation?

• Ignore the fractions

• Subtract the fractions

• Find the least common multiple of the denominators

• Add the fractions together

Why is it beneficial to multiply every term by the common denominator?

• It makes the equation more complex

• It makes the equation longer

• It eliminates the fractions

• It adds more fractions

What is the result of multiplying x plus 3 by 1 and subtracting negative 2 times x?

• x plus 3 plus 2x

• x minus 3 plus 2x

• x plus 3 minus 2x

• x minus 3 minus 2x

What should you do after finding the solution to ensure it is correct?

• Multiply it by the common denominator

• Add it to the original equation

• Check if it makes the denominator zero

• Ignore the solution

What is the term used for a solution that makes the denominator zero?

• Valid

• Correct

• Extraneous

• Irrelevant