Elimination Method in Linear Systems

This video tutorial covers the elimination method for solving systems of linear equations. It explains the steps involved, including adding or subtracting equations to eliminate a variable, solving for the remaining variable, and verifying solutions graphically. The tutorial includes examples and discusses the addition property of equality. The lesson concludes with a preview of the next topic, solving systems by subtraction.

What is the primary goal of the elimination method in solving linear systems?

• To eliminate one variable to solve for the other

• To find the intersection of two lines

• To graph the equations

• To substitute values into the equations

Which of the following is the first step in the elimination method?

• Check the solution

• Solve for one variable

• Graph the equations

• Add or subtract the equations to eliminate a variable

What property is used in the elimination method to maintain equality?

• Division property

• Multiplication property

• Subtraction property

• Addition property of equality

In the example problem, what is the result after eliminating the y variable?

• x = 4

• x = 2

• x = 8

• x = 6

How can you verify the solution of a system of equations graphically?

• By checking the slope

• By finding the x-intercept

• By plotting the lines and finding their intersection

• By calculating the y-intercept

What challenge is mentioned regarding graphing solutions with fractional values?

• They are easier to plot

• They do not affect the graph

• They require more precise graphing

• They are always incorrect

What remains unchanged if the order of equations in a system is swapped?

• The variables

• The solution

• The coefficients

• The graph's slope

What is the next topic after the elimination method by adding?

• Solving by multiplying

• Solving by subtracting

• Solving by graphing

• Solving by substitution