Solving Systems Elimination

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 variable.

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 does it mean if two lines intersect at a point?

Back

The system of equations has a unique solution at that point.

Front

What is the first step in solving a system by elimination?

Back

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

Front

Solve by elimination: 3x + 2y = 12 and 6x + 4y = 24.

Back

No solution (the second equation is a multiple of the first).