Exploring LT 6.4 Concepts

This video tutorial covers the elimination method for solving systems of equations. It begins with an introduction to the method, followed by three examples demonstrating how to solve systems by adding, subtracting, and multiplying equations to match coefficients. The video concludes with a brainteaser and a summary of the elimination method.

When combining like terms, what is the result of 3x - 2x?

• 5x

• -1x

• 1x

• 6x

What is the third method for solving systems of equations discussed in the video?

• Graphing

• Substitution

• Elimination

• Matrix

In the example involving two equations, what is the value of x after elimination?

• 4

• 2

• 3

• 1

How do you check if the solution to a system of equations is correct?

• Add the solutions

• Substitute the values back into one equation

• Substitute the values back into both equations

• Multiply the solutions

What is the final solution for the number of pennies and nickels?

• 15 pennies and 5 nickels

• 10 pennies and 10 nickels

• 12 pennies and 8 nickels

• 8 pennies and 12 nickels

What must be true for elimination to work effectively in solving systems of equations?

• Coefficients of one variable must be the same or opposites

• One equation must be quadratic

• All variables must have the same coefficient

• Variables must have different coefficients

After multiplying the second equation by 2, what is the new equation?

• 2L - 2W = 12

• 2L - 2W = 6

• 2L + 2W = 6

• 4L - 4W = 12

What step is necessary when coefficients in both equations do not match?

• Subtract one equation from the other

• Multiply one or both equations

• None of the above

• Divide one equation

What is the solution for the system where one equation was multiplied by -3 for elimination?

• (3, 2)

• (2, 3)

• (5, 4)

• (4, 5)

What is the correct way to solve a system of equations if the coefficients are not the same?

• Add the equations directly

• Subtract the equations directly

• Multiply one or both equations to match coefficients

• Divide one or both equations