Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

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.

Front

What is the elimination method?

Back

A technique for solving systems of equations by eliminating one variable to solve for the other.

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 a consistent system of equations?

Back

A system that has at least one solution.

Front

What is an inconsistent system of equations?

Back

A system that has no solutions.

Front

What is a dependent system of equations?

Back

A system that has infinitely many solutions, where the equations represent the same line.

Front

What is the first step in using elimination to solve the system: 2x + 2y = -2 and 3x - 2y = 12?

Back

Cross out the 2y and -2y.

Front

Back

No Solution.

Front

Back

(4, -4).