Solving Systems of Equations

The video tutorial demonstrates how to solve a system of three equations using the elimination method. It begins by discussing the choice of which variable to eliminate first, focusing on finding the lowest common multiple (LCM) for coefficients. The tutorial then walks through the process of eliminating the Y variable, combining equations, and solving for the remaining variables, Z and X. Finally, it concludes by finding the Y value and presenting the solution to the system of equations.

What is the first step in solving a system of three equations?

• Decide which variable to eliminate first

• Find the solution directly

• Graph the equations

• Eliminate all variables at once

What is the LCM of 1, 5, and 3 when eliminating X?

• 20

• 5

• 15

• 10

Which variable is chosen to be eliminated first in the video?

• X

• None

• Y

• Z

What is the LCM of the coefficients of Y in the equations?

• 2

• 4

• 6

• 8

What operation is performed on the first equation to eliminate Y?

• Multiply by 4

• Divide by 4

• Subtract 4

• Add 4

What is the result of multiplying the first equation by 4?

• 4X - 4Y - 16Z = 44

• 4X + 4Y + 16Z = 44

• 4X - 4Y + 16Z = 44

• 4X + 4Y - 16Z = 44

What is the next step after eliminating Y in the first equation?

• Solve for X

• Graph the equations

• Combine equations

• Solve for Z

What is the result of combining the first two equations?

• 14X + 4Z = 66

• 14X - 4Z = 66

• 14X + 6Z = 66

• 14X - 6Z = 66

What is the LCM of 14 and 7 when eliminating X?

• 21

• 28

• 14

• 7

What is the value of Z after solving the equations?

• 1

• -1

• 2

• 0