Solving Equations with Variables

The video tutorial explains how to solve an equation where the variable is in the denominator. The instructor demonstrates the process by multiplying both sides of the equation to eliminate the denominator, simplifying the equation, and isolating the variable to find the solution. The final answer is provided, and viewers are encouraged to ask questions and explore additional resources.

What is the main topic of the video?

• Solving quadratic equations

• Factoring polynomials

• Solving for a variable in the denominator

• Graphing linear equations

What is the first step in solving an equation where the variable is in the denominator?

• Subtract the variable from both sides

• Multiply both sides by the variable

• Add the variable to both sides

• Divide both sides by the variable

Why do we multiply both sides of the equation by the variable in the denominator?

• To make the equation unsolvable

• To move the variable to the numerator

• To eliminate the variable from the equation

• To add complexity to the equation

What should you do to one side of the equation if you perform an operation on the other side?

• Perform the same operation

• Do nothing

• Perform a different operation

• Add a new variable

What happens when the same variable appears on both the top and bottom of a fraction?

• They cancel each other out

• They multiply together

• They remain unchanged

• They add together

After canceling out the variable, what is left on the side of the equation where the variable was originally?

• The number 30

• The number 10

• The original variable

• Nothing

Once the variable is moved to the numerator, what is the next step?

• Add 10 to both sides

• Subtract 10 from both sides

• Multiply by 10 on both sides

• Divide by 10 on both sides

Why do we divide both sides by 10 in the equation?

• To isolate the variable

• To add complexity

• To eliminate the variable

• To make the equation unsolvable

What is the final value of x in the equation 30/x = 10?

• x = 30

• x = 3

• x = 1

• x = 10

What is the purpose of dividing both sides by the same number?

• To add a new variable

• To eliminate the variable

• To ensure the equation remains balanced

• To make the equation more complex