What do you need to know to solve a system of equations using elimination

The video tutorial covers solving systems of two linear equations using the elimination method. It begins with an introduction to systems of equations, explaining their purpose and how to identify solutions graphically. The tutorial then delves into the concept of multipliers and equivalent equations, followed by techniques for adding and subtracting equations. Finally, it discusses the substitution method as an alternative approach to solving equations.

What does it mean when two lines in a system of equations are parallel?

• The system has infinite solutions.

• The system is dependent.

• The system has no solution.

• The system has one solution.

What happens to the solution of an equation when it is multiplied by a constant?

• The solution doubles.

• The solution becomes zero.

• The solution changes.

• The solution remains the same.

Which of the following is an example of equivalent equations?

• 3x = 10 and 3x = 5

• 3x = 10 and 6x = 20

• 3x = 10 and 3x = 15

• 3x = 10 and 3x + 1 = 10

In the elimination method, what is the result of adding two equations where the coefficients of one variable are opposites?

• The variable is eliminated.

• The variable becomes negative.

• The variable doubles.

• The variable remains unchanged.

How can substitution be used to solve a system of equations?

• By graphing the equations.

• By replacing one variable with its equivalent expression from another equation.

• By multiplying both equations by the same number.

• By adding the equations together.