Elimination Method in Systems of Equations

This video tutorial explains how to solve systems of equations using the elimination method. It covers the process of aligning equations, adjusting coefficients, and performing operations to eliminate variables. The tutorial includes three examples demonstrating how to solve for x and y by creating equal coefficients with opposite signs and using inverse operations.

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

• Add the equations directly.

• Subtract the equations.

• Multiply both equations by zero.

• Align the equations with like terms.

In the first example, what operation is performed to create opposite coefficients for x?

• Addition

• Subtraction

• Multiplication by -1

• Division by 3

After eliminating x in the first example, what is the value of y?

• 2

• -2

• 3

• -3

In the second example, which variable is chosen for elimination?

• w

• z

• y

• x

What is the result of multiplying the second equation by -3 in the second example?

• 9x - 3y = -6

• 9x + 3y = -6

• Negative 9x - 3y = 6

• Negative 9x + 3y = 6

What is the solution for x in the second example?

• 2

• 1

• -1

• 0

In the third example, what is the purpose of multiplying both equations?

• To eliminate y

• To eliminate x

• To simplify the equations

• To find the determinant

What is the value of y in the third example after elimination?

• -3

• 4

• 3

• -4

What is the final solution for x in the third example?

• 4

• -4

• 7

• -7

What is the key takeaway from the video?

• Only use elimination for simple equations.

• Practice kindness and apply the elimination method.

• Always use substitution method.

• Elimination method is not useful.