Graph Systems of Equations

Front

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

Back

The two lines are the same line.

Front

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

Back

(6, -2)

Front

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

Back

The two lines are intersecting lines.

Front

How many solutions does a system of equations have if the lines are parallel?

Back

No solution.

Front

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

Back

The two lines are parallel.

Front

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

Back

The lines overlap completely.

Front

If two lines intersect at a point, what can be said about the system of equations they represent?

Back

The system has one unique solution.

Front

What is the maximum number of solutions a system of linear equations can have?

Back

Infinitely many solutions.

Front

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

Back

No solution.

Front

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

Back

If the lines are parallel and never intersect.