Solving and Verifying Linear Equations

The video tutorial teaches students how to solve linear equations with variables on both sides. It begins with an introduction to linear equations and explains the difference between equations with variables on one side versus both sides. The tutorial then guides students through the process of solving such equations by isolating the variable, simplifying the equation, and checking the solution by substituting the value back into the original equation. The lesson concludes with a summary of the steps involved in solving these types of equations.

What is the first step in solving a linear equation with variables on both sides?

• Divide both sides by the same number

• Multiply both sides by the same number

• Subtract the same number from both sides

• Add the same number to both sides

In the equation 5 + 4y = y + 3, what should be done to start isolating the variable y?

• Add y to both sides

• Subtract y from both sides

• Multiply both sides by y

• Divide both sides by y

What is the purpose of subtracting y from both sides in the equation 5 + 4y = y + 3?

• To isolate the variable on one side

• To eliminate the variable

• To add fractions

• To simplify the equation

After subtracting y from both sides in the equation 5 + 4y = y + 3, what is the resulting equation?

• 5 + 4y = 3

• 5 + 4y = y

• 5 + 3y = 3

• 5 + 3y = y + 3

What is the result of 4y - y in the equation simplification process?

• 2y

• 5y

• y

• 3y

What is the result of y - y in the equation simplification process?

• 0

• y

• 2y

• 3y

What is the next step after obtaining the equation 5 + 3y = 3?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 5 from both sides

• Add 5 to both sides

What is the result of 5 - 5 in the equation simplification process?

• -5

• 10

• 5

• 0

What is the result of 3 - 5 in the equation simplification process?

• -5

• 5

• -2

• 2

What is the value of y in the equation 3y = -2?

• y = 2/3

• y = -2/3

• y = -3/2

• y = 3/2