Solving Systems by Elimination Techniques

What is the elimination method used for?

• Solving a single equation

• Finding the derivative of a function

• Solving a system of equations

• Calculating the area of a triangle

In the first example, what operation is used to eliminate the variable?

• Division

• Subtraction

• Multiplication

• Addition

What is the key sign that addition can be used to eliminate a variable?

• Both coefficients are positive

• Both coefficients are negative

• The coefficients are opposites

• The coefficients are equal

In the second example, what is the key sign that subtraction can be used?

• The coefficients are zero

• The coefficients are the same sign

• The coefficients are opposites

• The coefficients are different

What is the solution to the system in the second example?

• (3, -4)

• (3, 2)

• (6, -6)

• (0, -3)

In the third example, why is multiplication used before elimination?

• To eliminate the variable directly

• To solve for one variable

• To change the coefficients to be the same

• To make the equations simpler

What is the solution to the system in the third example?

• (3, 2)

• (0, -3)

• (6, -6)

• (3, -4)

In the fourth example, why do both equations need to be multiplied?

• To solve for one variable

• To make the coefficients equal

• To eliminate the variable directly

• To simplify the equations

What is the solution to the system in the fourth example?

• (3, -4)

• (3, 2)

• (6, -6)

• (0, -3)

What should students do after watching the video?

• Solve more equations

• Read a textbook

• Complete the guided notes handout

• Take a break