12-16-24 Elimination method

Front

What is the 12-16-24 elimination method?

Back

A method used to solve systems of equations by eliminating one variable at a time to find the values of the remaining variables.

Front

What does it mean when a system of equations has an infinite number of solutions?

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

What is the solution to a system of equations?

Back

The point where the two lines intersect on a graph.

Front

How do you determine if a system of equations has no solution?

Back

If the lines are parallel and never intersect, the system has no solution.

Front

What is the first step in the elimination method?

Back

To manipulate the equations so that one variable can be eliminated when the equations are added or subtracted.

Front

Solve the system by elimination: 2x + 3y = 6 and 4x + 6y = 12.

Back

Infinite number of solutions.

Front

Solve the system by elimination: 3x + 2y = 12 and 3x - 2y = 6.

Back

(2, 3)