Solving Linear Equations and Verification

The video tutorial demonstrates solving linear equations by isolating the variable x. It covers four examples: 3x = 48, -4x = 56, 2x = -14, and -x = -18. Each example involves algebraic manipulation to isolate x, followed by verification of the solution by substituting back into the original equation. The tutorial emphasizes the importance of verifying solutions to ensure accuracy.

What is the first step to solve the equation 3x = 48?

• Multiply both sides by 3

• Subtract 3 from both sides

• Add 3 to both sides

• Divide both sides by 3

What is the solution to the equation 3x = 48?

• x = 12

• x = 20

• x = 16

• x = 18

How do you verify the solution x = 16 for the equation 3x = 48?

• By checking if 3 divided by 16 equals 48

• By checking if 3 plus 16 equals 48

• By checking if 3 minus 16 equals 48

• By checking if 3 times 16 equals 48

What operation is needed to solve the equation -4x = 56?

• Add 4 to both sides

• Divide both sides by -4

• Subtract 4 from both sides

• Multiply both sides by -4

What is the solution to the equation -4x = 56?

• x = 56

• x = -14

• x = 14

• x = -56

How do you verify the solution x = -14 for the equation -4x = 56?

• By checking if -4 times -14 equals 56

• By checking if -4 plus -14 equals 56

• By checking if -4 divided by -14 equals 56

• By checking if -4 minus -14 equals 56

What is the solution to the equation 2x = -14?

• x = -7

• x = 7

• x = -14

• x = 14

What operation is needed to solve the equation -x = -18?

• Subtract 1 from both sides

• Add 1 to both sides

• Divide both sides by -1

• Multiply both sides by -1

What is the solution to the equation -x = -18?

• x = 18

• x = -18

• x = -1

• x = 0

How do you verify the solution x = 18 for the equation -x = -18?

• By checking if 18 equals 18

• By checking if 18 equals -18

• By checking if -18 equals 18

• By checking if -18 equals -18