Checking Solutions in Equations

The video tutorial explores whether specific values of y, namely -41 and 7, are solutions to a given equation. By substituting these values into the equation, the tutorial demonstrates that y = -41 is not a solution, while y = 7 is a valid solution. The process involves simple division and comparison to verify the equality.

What is the first step to check if y = -41 is a solution to the equation?

• Multiply -41 by 41

• Substitute -41 for y in the equation

• Add 41 to both sides of the equation

• Divide -41 by 2

What is the result of substituting y = -41 into the equation?

• The result is 0

• The result is -2

• The result is -1

• The result is 1

Why is y = -41 not a solution to the equation?

• Because -1 does not equal -2

• Because -41 is too large

• Because the equation requires a positive number

• Because -41 is not a valid number

What is the significance of the number 41 in the first solution check?

• It is the result of the equation

• It is the divisor in the equation

• It is the multiplier in the equation

• It is the solution to the equation

What is the final conclusion about y = -41?

• It is a solution

• It is not a solution

• It is a partial solution

• It is an invalid solution

What is the next value checked as a potential solution after y = -41?

• y = 1

• y = 0

• y = -7

• y = 7

What operation is performed when checking if y = 7 is a solution?

• 7 is subtracted from both sides

• 7 is divided by 7

• 7 is added to both sides

• 7 is multiplied by 7

What is the result of substituting y = 7 into the equation?

• The result is 7

• The result is -1

• The result is 1

• The result is 0

Why is y = 7 considered a solution to the equation?

• Because 1 equals 1

• Because 7 is a prime number

• Because 7 is greater than -41

• Because 7 is a positive number

What is the equation used to check the solutions?

• y + 41 = 0

• y / 41 = -2

• y / 7 = 1

• y * 7 = 7