Isolating Variables in Equations

The video tutorial explains how to solve literal equations for x and y, focusing on the equation 3x + 4y = 15. It covers the steps to isolate x and y, emphasizing the use of basic algebraic operations such as addition, subtraction, multiplication, and division. The tutorial provides a clear demonstration of how to manipulate equations to solve for a specific variable.

What is the primary focus of solving literal equations?

• Solving quadratic equations

• Graphing equations

• Finding the value of constants

• Isolating variables

When solving for x, what is the first operation to undo?

• Multiplication

• Division

• Addition or Subtraction

• Exponentiation

In the equation 3x + 4y = 15, what operation is performed on the variable x?

• Division

• Multiplication

• Subtraction

• Addition

What is the result of subtracting 4y from both sides of the equation 3x + 4y = 15?

• 3x = 15 - 4y

• 3x = 15 + 4y

• 3x = 15

• 3x = 4y - 15

How do you isolate x in the equation 3x = 15 - 4y?

• Subtract 15 from both sides

• Divide both sides by 3

• Multiply both sides by 3

• Add 4y to both sides

What is the simplified form of 15 divided by 3?

• 3

• 6

• 4

• 5

What is the result of dividing 15 by 3?

• 6

• 4

• 5

• 7

What is the final form of x in terms of y for the equation 3x + 4y = 15?

• x = 5 + 4/3y

• x = 5y - 4/3

• x = 5 - 4/3y

• x = 4/3y - 5

What is the purpose of separating terms into fractions when solving for x?

• To make the equation more complex

• To simplify the equation

• To add constants

• To eliminate variables

What is the simplified form of negative 4 divided by 3?

• 3/4

• 4/3

• -3/4

• -4/3