Flashcard - Elimination Method - Part 1

Front

What is the solution to a system of equations?

Back

The solution is the point where the two lines intersect.

Front

What does it mean if a system of equations has no solutions?

Back

It means the lines are parallel and never intersect.

Front

What is a zero pair in the elimination method?

Back

A zero pair is a pair of terms that cancel each other out when added together.

Front

How do you combine equations in the elimination method?

Back

You add or subtract the equations to eliminate one variable.

Front

What is the elimination method used for?

Back

It is used to solve systems of equations by eliminating one variable.

Front

What happens when the slopes of two lines are different?

Back

The system of equations has one unique solution.

Front

What is the resulting equation when combining 9x + y = 12 and -9x + y = 6?

Back

2y = 18.

Front

What does it mean if two lines intersect at a point?

Back

It means the system of equations has one solution.

Front

What is the first step in the elimination method?

Back

Identify which variable to eliminate.

Front

What is the significance of the point (1, 3) in a system of equations?

Back

It is the solution where the two lines intersect.