Solving Systems by Elimination: Day 2 Insights

This video tutorial covers solving systems of equations using the elimination method. It begins with a review of the steps involved in elimination, followed by two detailed examples demonstrating the process. The video concludes with a discussion on special cases, such as when systems have no solution or infinitely many solutions.

What is the first step in solving a system of equations by elimination?

• Add the equations together

• Subtract the equations

• Multiply the equations by a number

• Line up the like terms vertically

If the x or y terms are opposites, what should you do next?

• Multiply the equations by a number

• Subtract the equations

• Divide the equations

• Add the equations together

In the first example, what do you multiply the second equation by to eliminate the x terms?

• 5

• -10

• 10

• -5

What is the value of y in the first example after solving the system?

• 1

• 2

• 0

• -2

What is the final solution to the system in the first example?

• (2, -2)

• (1, 1)

• (-2, 2)

• (0, 0)

In the second example, what do you multiply the first equation by to eliminate the y terms?

• -5

• 5

• 10

• 2

What is the value of x in the second example after solving the system?

• 2

• 1

• 0

• -1

What does a true statement like 5 = 5 indicate in a system of equations?

• Inconsistent system

• Infinitely many solutions

• Unique solution

• No solution

What does a false statement like 4 = 0 indicate in a system of equations?

• No solution

• Unique solution

• Infinitely many solutions

• Consistent system

In the example of no solution, what is the resulting false statement?

• 0 = 0

• 5 = 5

• 4 = 0

• 0 = 20