System Of Equations

Front

What is a system of equations?

Back

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

Front

What does it mean when a system of equations has one solution?

Back

It means the graphs of the equations intersect at exactly one point.

Front

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

Back

It means the graphs of the equations are parallel and never intersect.

Front

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

Back

It means the equations represent the same line, overlapping each other.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Front

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

Back

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

Front

What is the graphical representation of a system with one solution?

Back

Two lines that intersect at a single point.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines that never meet.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

Two lines that lie on top of each other.