Elimination Method

Front

What is the Elimination Method in solving systems of equations?

Back

The Elimination Method is a technique used to solve systems of linear equations by eliminating one variable, allowing for the other variable to be solved directly.

Front

How do you eliminate a variable in a system of equations?

Back

To eliminate a variable, you can add or subtract the equations in such a way that one of the variables cancels out.

Front

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

Back

A system has no solution if the equations represent parallel lines that never intersect.

Front

What does it mean if a system of equations has infinite solutions?

Back

A system has infinite solutions if the equations represent the same line, meaning every point on the line is a solution.

Front

Solve using Elimination Method: 4x + 9y = 28 and -4x - y = -28

Back

(7, 0)

Front

Solve using Elimination Method: x - y = 11 and 2x + y = 19

Back

(10, -1)

Front

Solve using Elimination Method: y = -6 and -3x - 6y = 24

Back

(4, -6)

Front

What is the first step in using the Elimination Method?

Back

The first step is to align the equations and decide which variable to eliminate.

Front

What is a key advantage of the Elimination Method?

Back

It can be more efficient than substitution, especially when dealing with larger systems of equations.

Front

What is the result of the system: 2x + 3y = 6 and 4x + 6y = 12?

Back

Infinite solutions, as the second equation is a multiple of the first.