Verifying Solutions of Linear Equations

The video tutorial explains how to solve linear equations by isolating the variable x. It covers two example equations, demonstrating the steps to isolate x and verify the solutions. The tutorial emphasizes the importance of checking solutions by substituting them back into the original equations to ensure correctness.

What is the first step in solving the equation 7 - x = 10?

• Multiply both sides by 7

• Subtract 7 from both sides

• Divide both sides by 10

• Add 10 to both sides

After isolating -x in the equation 7 - x = 10, what is the next step?

• Add 3 to both sides

• Divide both sides by 3

• Multiply both sides by -1

• Subtract 3 from both sides

What is the solution to the equation 7 - x = 10?

• x = 7

• x = -3

• x = 3

• x = -7

How do you verify the solution x = -3 for the equation 7 - x = 10?

• Substitute x = -3 into 7 + x and check if it equals 10

• Substitute x = 3 into 7 - x and check if it equals 10

• Substitute x = -3 into 7 - x and check if it equals 10

• Substitute x = 3 into 7 + x and check if it equals 10

What is the first step in solving the equation -8 - x = -15?

• Add 8 to both sides

• Multiply both sides by -1

• Add 15 to both sides

• Subtract 8 from both sides

After isolating -x in the equation -8 - x = -15, what is the next step?

• Add 7 to both sides

• Multiply both sides by -1

• Subtract 7 from both sides

• Divide both sides by 7

What is the solution to the equation -8 - x = -15?

• x = -15

• x = 7

• x = -7

• x = 15

How do you verify the solution x = 7 for the equation -8 - x = -15?

• Substitute x = -7 into -8 - x and check if it equals -15

• Substitute x = 7 into -8 - x and check if it equals -15

• Substitute x = 7 into -8 + x and check if it equals -15

• Substitute x = -7 into -8 + x and check if it equals -15

What operation is used to isolate x in both equations?

• Division

• Multiplication

• Subtraction

• Addition

What is the common step in verifying solutions for both equations?

• Adding the solution to both sides

• Subtracting the solution from both sides

• Substituting the solution back into the original equation

• Multiplying the solution by both sides