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 removing one variable, making it easier 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

How do you check the solution of a system of equations?

Back

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

Front

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

Back

(3,0)

Front

Solve by elimination: 3x - 2y = 5 and 6x + 4y = 12.

Back

(2,1)