Solve a literal equation by factoring out your variable 3y‐yz=2z

The video tutorial explains how to solve multi-step equations by combining variables and identifying like terms. It highlights the challenge of dealing with terms that are not alike due to different variables. The teacher demonstrates factoring out a variable to simplify the equation and uses the distributive property in reverse. Finally, the tutorial shows how to solve the equation by dividing, emphasizing the operations applied to variables.

Why can't the terms Y and YZ be combined in the equation Y - YZ = 2Z?

• They are on different sides of the equation.

• They have different coefficients.

• They contain different variables.

• They are already combined.

What is the purpose of factoring out a variable in an equation?

• To eliminate the variable completely.

• To simplify the equation by rewriting it as a product.

• To change the equation into a subtraction problem.

• To add more variables to the equation.

What mathematical property is used in reverse when factoring out a variable?

• Commutative Property

• Associative Property

• Identity Property

• Distributive Property

What operation is being applied to the variable Y in the equation Y = 2Z / (3 - Z)?

• Multiplication

• Subtraction

• Addition

• Division

How do you solve the equation Y = 2Z / (3 - Z) for Y?

• By subtracting 2Z from both sides.

• By dividing both sides by 3 - Z.

• By multiplying both sides by 3 - Z.

• By adding 3 - Z to both sides.