Solving and Verifying Linear Equations

This video tutorial teaches how to solve equations using addition. It begins with an equation where the variable Y is isolated by using the inverse operation of addition. The tutorial explains the importance of balancing both sides of the equation and demonstrates how to verify the solution by substituting the value back into the original equation. The lesson concludes with a successful verification of the solution.

What is the main operation used to solve the equation y - 14 = 36.8?

• Addition

• Multiplication

• Division

• Subtraction

What is the first step in solving the equation y - 14 = 36.8?

• Divide both sides by 14

• Add 14 to both sides

• Subtract 14 from both sides

• Multiply both sides by 14

In the equation y - 14 = 36.8, what is the inverse operation of subtraction?

• Subtraction

• Multiplication

• Division

• Addition

Why do we add 14 to both sides of the equation y - 14 = 36.8?

• To change the equation to multiplication

• To eliminate the variable y

• To isolate the variable y

• To make the equation more complex

What is the purpose of using the inverse operation in solving equations?

• To make the equation more complex

• To simplify the equation

• To isolate the variable

• To eliminate the variable

What is the result of adding 14 to -14?

• 0

• 28

• -14

• 14

After adding 14 to both sides, what is the new equation?

• y = 14

• y = 50.8

• y = 22.8

• y = 36.8

What does the equation y - 14 = 36.8 become after adding 14 to both sides?

• y = 22.8

• y = 50.8

• y = 36.8

• y = 14

What operation is performed on both sides of the equation to maintain balance?

• No operation is needed

• Only on the left side

• Only on the right side

• On both sides

What is the purpose of substituting the value of y back into the original equation?

• To change the equation

• To eliminate the variable

• To find a new solution

• To verify the solution