Checking Solutions in Multi-Step Equations

Rachel explains how to solve multi-step equations by isolating the variable. The process involves subtracting and dividing to solve for X, followed by checking the solution to ensure accuracy. The tutorial concludes with a summary of the steps taken.

What is the primary goal when solving multi-step equations?

• To add more variables

• To make the equation more complex

• To isolate the variable

• To eliminate all numbers

What operation is performed first to start isolating X?

• Multiplying both sides by 71

• Dividing both sides by 71

• Subtracting 71 from both sides

• Adding 71 to both sides

After subtracting 71 from both sides, what is the resulting equation?

• 8X = -8

• X = -8

• 8X = 8

• X = 8

What is the next step after bringing down 8X?

• Subtract 8 from both sides

• Multiply both sides by 8

• Add 8 to both sides

• Divide both sides by 8

What is the value of X after dividing both sides by 8?

• X = -1

• X = 8

• X = 1

• X = 0

Why is it important to perform a check after solving the equation?

• To ensure the solution is correct

• To add more variables

• To make the equation more complex

• To change the solution

What is the original equation used for the check?

• X + 71 = 63

• 8X - 71 = 63

• X - 71 = 63

• 8X + 71 = 63

What is the result of substituting X = -1 back into the equation for the check?

• 8 + 71 = 63

• 8 - 71 = 63

• 63 = 63

• 71 = 63

What is the final step in verifying the solution?

• Rewriting the equation

• Performing a check

• Adding more variables

• Changing the solution

What does the check confirm about the solution?

• The solution is incorrect

• The solution is correct

• The equation is unsolvable

• The equation needs more steps