Systems of Equations 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 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 an infinite number of solutions, where the equations represent the same line.

Front

What does it mean if two equations have the same slope but different y-intercepts?

Back

The system is inconsistent and has no solution.

Front

Solve using elimination: 7x + 2y = 24 and 8x + 2y = 30.

Back

(6, -9)

Front

Solve using elimination: -4x - 6y = 6 and 4x + 6y = -4.

Back

No solution.