Systems of Equations and Inequalities

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 adding or subtracting equations to eliminate one variable.

Front

What is the substitution method?

Back

A technique for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point in a coordinate plane.

Front

What does it mean for an ordered pair to be a solution to a system of equations?

Back

It means that the ordered pair satisfies all equations in the system.

Front

How can you check if an ordered pair is a solution to a system?

Back

Substitute the values of the ordered pair into each equation and see if the equations hold true.

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.