Solving Systems of Equations with the Elimination Method

In this video, the Math Magician introduces the elimination method for solving systems of equations, which is the third and final method covered. The video reviews the previously learned equal values and substitution methods, explaining when they are applicable. The elimination method is detailed step-by-step, showing how to combine equations to eliminate a variable and solve for the remaining variables. The video concludes with a verification of results, demonstrating that the method works regardless of which equation is used for substitution.

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

• To find the slope of the lines

• To determine where the lines intersect

• To calculate the area between the lines

• To find the length of the lines

Which method is used when both equations are equal to the same variable?

• Equal Values Method

• Elimination Method

• Graphing Method

• Substitution Method

What is the first step in the elimination method?

• Divide the equations

• Add the equations

• Multiply the equations

• Subtract the equations

What happens to the y variables when you add 3y and -3y?

• They cancel out

• They double

• They become negative

• They remain the same

After eliminating one variable, what type of equation do you end up with?

• A quadratic equation

• A single-variable equation

• An inequality

• A system of equations

What is the x-value when 7x equals 14?

• 1

• 3

• 4

• 2

Which equation can you use to find the y-value after finding x?

• Either equation

• Neither equation

• Only the second equation

• Only the first equation

What is the y-value when x equals 2 in the equation 3y + 2x = -2?

• -2

• 0

• 1

• 2

What is the final solution for the system of equations in the example?

• (2, 2)

• (2, -2)

• (-2, -2)

• (-2, 2)

When should you use the elimination method?

• When both equations are in the form y = mx + b

• When substitution and equal values methods do not work

• When the equations are inequalities

• When the equations are quadratic