Solving a rational Equation

The video tutorial explains how to solve rational equations, focusing on handling variables in denominators. It covers multiplying by the least common denominator (LCD) and balancing equations. The tutorial demonstrates the process of moving variables from the denominator to the numerator and solving for them, ensuring that operations are applied to all terms in the equation. The final solution is presented with a clear example.

What is the first step in solving a rational equation with a variable in the denominator?

• Add the variable to both sides

• Multiply by the variable

• Subtract the variable from both sides

• Divide by the variable

Why is it important to perform the same operation on both sides of an equation?

• To keep the equation balanced

• To make the equation more complex

• To eliminate all variables

• To simplify the equation

What operation is used to eliminate a variable from the denominator?

• Subtraction

• Division

• Multiplication

• Addition

After eliminating the variable from the denominator, what is the next step to solve for the variable?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply by 5

• Divide by 5

What is the solution to the equation after solving for the variable?

• X = 5/1

• X = 1/5

• X = 3/5

• X = 5/3