Systems of Linear Equations

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean if a system of linear equations is consistent?

Back

It means that there is at least one solution to the system.

Front

What does it mean if a system of linear equations is inconsistent?

Back

It means that there is no solution to the system.

Front

What does it mean if a system of linear equations is dependent?

Back

It means that the equations represent the same line, resulting in infinitely many solutions.

Front

What is the graphical representation of a system of linear equations?

Back

The lines representing the equations on a coordinate plane.

Front

What is the solution of a system of linear equations?

Back

The point where the lines intersect on a graph.

Front

What are the three main methods to solve systems of equations?

Back

Graphing, Substitution, and Elimination.

Front

What does it mean if two lines are parallel in a system of linear equations?

Back

It means the system is inconsistent and has no solutions.

Front

What is the slope of a line?

Back

The rate at which the line rises or falls, calculated as the change in y over the change in x.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis.