Elimination Method in Systems of Equations

This video tutorial explains how to use the elimination method to solve systems of equations. It begins by discussing the choice of which variable to eliminate first, based on the coefficients of the variables. The tutorial then demonstrates the process of multiplying equations to make the coefficients of one variable opposites, allowing for elimination. After eliminating one variable, the video shows how to solve for the remaining variable and then substitute back to find the other variable. The tutorial concludes with finding the solution point of the system.

What is the first step in the elimination method?

• Subtract one equation from the other

• Identify which variable to eliminate

• Add the equations together

• Multiply both equations by the same number

Why is it important to have the same number with opposite signs for elimination?

• To simplify the coefficients

• To make the equations easier to solve

• To avoid fractions

• To ensure the variables cancel out

What common multiple do the numbers 9 and 7 have?

• 49

• 63

• 81

• 56

What should you multiply the first equation by to make the coefficients of x equal?

• 2

• 3

• 4

• 5

What is the result of multiplying -4 by -9?

• -45

• 36

• -36

• 45

After eliminating x, what is the coefficient of y in the new equation?

• 45

• 16

• 36

• 29

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

• 2

• 0

• 1

• -1

What should you do after finding the value of y?

• Divide both sides by the coefficient of y

• Add the equations together

• Substitute y back into one of the original equations

• Multiply both equations again

What is the value of x when y is 0?

• 0

• 5

• -5

• -4

What is the final solution to the system of equations?

• (5, 0)

• (0, 5)

• (0, -5)

• (-5, 0)