Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Front

What is the elimination method?

Back

A technique for solving systems of equations by eliminating one variable, allowing for the other variable to be solved.

Front

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

Back

By adding or subtracting the equations to cancel out one of the variables.

Front

What is the first step in using the elimination method?

Back

Align the equations so that corresponding variables and constants are in the same columns.

Front

What is a solution to a system of equations?

Back

A set of values for the variables that makes all equations in the system true.

Front

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

Back

The lines represented by the equations are parallel and never intersect.

Front

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

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

How can you check if your solution to a system of equations is correct?

Back

By substituting the values back into the original equations to see if they hold true.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing the equations on a coordinate plane.