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 graphical method of solving a system of equations?

Back

Plotting the equations on a graph and identifying the point(s) where they intersect.

Front

What is an ordered pair in the context of a system of equations?

Back

A pair of numbers (x, y) that represents a point on the coordinate plane.

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The equations represent the same line, so every point on the line is a solution.

Front

How do you determine the solution of a system of equations algebraically?

Back

By using methods such as substitution, elimination, or matrix operations.

Front

What is the substitution method?

Back

A method for solving a system of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method?

Back

A method for solving a system of equations by adding or subtracting equations to eliminate one variable.

Front

What is a consistent system of equations?

Back

A system that has at least one solution.