Elimination Method in Algebra

The video tutorial explains the elimination method for solving systems of equations. It covers aligning variables, ensuring coefficients are the same, and deciding when to add or subtract equations. A practical example demonstrates eliminating a variable by addition, solving for the remaining variable, and substituting back to find the other variable.

What is the main goal when adding or subtracting two equations?

• To eliminate a variable

• To divide the equations

• To find the sum of the equations

• To multiply the equations

When should you add or subtract two equations?

• When the equations are not aligned

• When the equations have different variables

• When the coefficients of the same variable are the same

• When the coefficients of the same variable are different

What is the first step in preparing equations for elimination?

• Add a constant to both equations

• Align the variables

• Multiply the equations

• Divide the equations

Why is it important to align variables in equations?

• To make the equations longer

• To ensure coefficients are visible

• To simplify the process of elimination

• To add more variables

What should you do if the coefficients of a variable are the same but have different signs?

• Multiply the equations

• Divide the equations

• Add the equations

• Subtract the equations

What happens when you add two equations with coefficients 1 and -1 for the same variable?

• The variable is eliminated

• The variable is doubled

• The variable remains unchanged

• The variable is halved

In the example, what is the result of adding 1x and 1x?

• 1x

• 3x

• 2x

• 0x

What is the result of adding 1y and -1y?

• 2y

• -2y

• 0y

• 1y

After eliminating y, what equation is formed?

• 2x = 4

• x + y = 4

• x - y = 4

• 2y = 4

What is the value of x after solving the equation 2x = 4?

• x = 4

• x = 3

• x = 2

• x = 1