Graphing Systems of 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 has no solution?

Back

The lines represented by the equations are parallel and never intersect.

Front

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

Back

The lines represented by the equations are the same line.

Front

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

Back

Graphing, Substitution, Elimination.

Front

How can you determine if two lines intersect?

Back

By solving the system of equations to find a unique solution.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the intersection points of the lines on a graph.

Front

What is the solution to the system of equations y = 2x + 1 and y = 2x - 3?

Back

No Solution (the lines are parallel).

Front

What is the solution to the system of equations y = x + 2 and y = -x + 4?

Back

(1, 3) (the lines intersect at this point).

Front

What does the term 'consistent' mean in relation to systems of equations?

Back

A system is consistent if it has at least one solution.

Front

What does the term 'inconsistent' mean in relation to systems of equations?

Back

A system is inconsistent if it has no solutions.