Graphing Systems 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 if two lines are parallel in a system of equations?

Back

They have no solutions because they never intersect.

Front

What does it mean if two lines are the same in a system of equations?

Back

They have infinitely many solutions because every point on the line is a solution.

Front

What does it mean if two lines intersect at one point in a system of equations?

Back

They have one solution, which is the point of intersection.

Front

How can you tell if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect.

Front

How can you tell if a system of equations has infinitely many solutions?

Back

If the equations represent the same line, they will overlap completely.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the lines of the equations on a coordinate plane.

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=3x+2 and y=-3x+8?

Back

One solution (the lines intersect at one point).

Front

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

Back

Infinitely many solutions (the lines are the same).