Solving Absolute Value Equations

The video tutorial explains two methods to solve absolute value equations involving two absolute values. It demonstrates solving the equations X - 3 = 2x + 10 and X - 3 = -2x - 10 separately, providing step-by-step instructions. The solutions are verified by substituting them back into the original equations. The tutorial concludes with a brief mention of a related video for solving equations with one absolute value.

What are the two methods mentioned for solving the problem?

• Using substitution and elimination

• Using quadratic formula and factoring

• Graphical method and algebraic method

• Setting the equation equal to positive and negative values

What is the first step in setting up the equations?

• Adding 3 to both sides

• Subtracting 2x from both sides

• Setting the equation equal to positive and negative values

• Multiplying both sides by negative one

What operation is performed after subtracting 2x from both sides in the first equation?

• Dividing both sides by 3

• Distributing the negative into the parentheses

• Multiplying both sides by negative one

• Adding 3 to both sides

What is the value of x after solving the first equation?

• 7/3

• -7/3

• -13

• 13

What is the first step in solving the second equation?

• Distributing the negative into the parentheses

• Dividing both sides by 3

• Multiplying both sides by negative one

• Adding 3 to both sides

What is the value of x after solving the second equation?

• 13

• -13

• -7/3

• 7/3

How can you verify the solutions obtained?

• By graphing the equations

• By using a calculator

• By solving the equations again

• By substituting the solutions back into the original equations

What should you do if the two sides of the equation are not equal after substituting the solution?

• None of the above

• Both sides should be equal if the solution is correct

• Check for calculation errors

• Recalculate the solution

Where can you find more information on solving absolute value equations with one absolute value?

• In the previous video

• In the next video

• In the comments section

• In the video description