Elimination Method in Algebra

The video tutorial explains how to solve a system of equations using the elimination method. It begins by introducing the method and then demonstrates how to solve for x by eliminating y. Once x is found, it is substituted back into one of the original equations to solve for y. The final values of x and y are determined to be 3 and -3, respectively.

What is the first step in solving equations using the elimination method?

• Multiply both equations by the same number

• Subtract one equation from the other

• Copy the equation as it is

• Add the equations together

What is the equation given in the problem?

• x + 2y = 9

• x + y = 9

• 2x - y = 9

• x - 2y = 9

What do you do after copying the equation in the elimination method?

• Add a new variable

• Multiply by a constant

• Cancel terms to simplify

• Solve for y

After canceling terms, what is the resulting equation?

• 5x = 15

• 3x = 15

• 2x = 15

• x = 15

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

• x = 5

• x = 2

• x = 3

• x = 4

What is the next step after finding the value of x?

• Substitute x into one of the original equations

• Solve for y directly

• Divide x by 2

• Multiply x by 2

Which equation is used for substituting the value of x?

• Both equations

• The second equation

• The first equation

• A new equation

What is the value of x used in the substitution?

• x = 3

• x = 4

• x = 2

• x = 5

What operation is performed after substituting x to solve for y?

• Multiplication

• Division

• Addition

• Subtraction

What is the final value of y after solving the equation?

• y = 2

• y = -3

• y = 3

• y = -2