Elimination Method in Algebra

This tutorial demonstrates solving a system of linear equations using the elimination method. The instructor guides viewers through eliminating variables step-by-step, starting with X, then solving for Z and Y, and finally finding X. The solution is verified by substituting the values back into the original equations.

What method is being used to solve the system of linear equations in this tutorial?

• Substitution

• Graphical

• Matrix

• Elimination

How many equations are presented in the tutorial?

• Two

• Three

• Four

• Five

What is the first equation presented in the tutorial?

• 3x - 2y - 3z = -3

• 2x + 3y - 5z = 8

• x + y + z = 0

• 2x + 5y + 8z = 27

What is the second equation presented in the tutorial?

• 2x + 5y + 8z = 27

• x + y + z = 0

• 2x + 3y - 5z = 8

• 3x - 2y - 3z = -3

What is the third equation presented in the tutorial?

• 2x + 3y - 5z = 8

• 3x - 2y - 3z = -3

• 2x + 5y + 8z = 27

• x + y + z = 0

What is the purpose of tagging equations as 1, 2, and 3?

• To multiply them

• To eliminate them

• To solve them directly

• To identify them easily

What is the first step in eliminating X using the first two equations?

• Add the equations

• Divide the equations

• Subtract the equations

• Multiply the equations

What is the result of multiplying the first equation by 3?

• 6x + 9y - 15z = 18

• 6x + 9y - 15z = 8

• 6x + 9y - 15z = 24

• 6x + 9y - 15z = 30

What is the result of subtracting the second equation from the first after multiplication?

• 13y - 9z = 12

• 13y - 9z = 18

• 13y - 9z = 24

• 13y - 9z = 30

What is the purpose of multiplying equations by constants in the elimination method?

• To eliminate variables

• To find the solution directly

• To simplify the equations

• To make coefficients equal