Elimination Method in Solving Systems of Equations

The video tutorial explains how to solve a system of equations using the elimination method, also known as the addition method. It discusses the possibility of having no solution or an infinite number of solutions. The tutorial demonstrates how to manipulate equations to eliminate variables and solve the system. It concludes by verifying the solution through graphing, showing that parallel lines indicate no solution.

What is the main goal when solving a system of equations using the elimination method?

• To find an ordered pair that satisfies both equations

• To eliminate all variables

• To find a single equation

• To graph the equations

What must be true about the terms in the equations for the elimination method to work?

• They must be identical

• They must be opposites

• They must be positive

• They must be negative

What operation is performed on the first equation to make the terms opposites?

• Divide by 2

• Multiply by -1

• Multiply by 0

• Add 1 to each term

What does the equation 0 = -6 indicate about the system of equations?

• The system has infinite solutions

• The system has no solution

• The system has one solution

• The system is inconsistent

How can you verify the result of no solution graphically?

• By finding the intersection point

• By showing the lines overlap

• By showing the lines are parallel

• By finding the slope of the lines