Systems of Equations Review

Front

What is a system of equations?

Back

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

Front

What does it mean if two lines intersect on a graph?

Back

It means that the system of equations has one unique solution.

Front

What is the graphical representation of a solution to a system of equations?

Back

The point where the lines intersect.

Front

What does it mean if two lines are parallel?

Back

The system of equations has no solution.

Front

What does it mean if two lines are the same line?

Back

The system of equations has infinitely many solutions.

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations; if both are true, it is a solution.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, which is then substituted into the other equation.

Front

What is the first step in solving a system of equations by elimination?

Back

Align the equations so that like terms are in the same column.

Front

If a system of equations has no solution, what can be said about the lines?

Back

The lines are parallel and will never intersect.