number of solutions to a system of equations

Front

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

Back

The two lines intersect at exactly one point.

Front

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

Back

The two lines are parallel and never intersect.

Front

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

Back

The two lines are the same line, overlapping each other.

Front

Graph the system of equations y = 2x - 3 and y = -x + 1. How many solutions does the system have?

Back

The system has one solution.

Front

Graph the system of equations y = 4x - 2 and y = 4x - 2. How many solutions does the system have?

Back

The system has infinitely many solutions.

Front

Graph the system of equations y = 3x - 1 and y = 3x - 1. How many solutions does the system have?

Back

The system has infinitely many solutions.

Front

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

Back

(1, 3)

Front

If two lines are intersecting, how many solutions does the system of equations have?

Back

One solution.

Front

If two lines are parallel, how many solutions does the system of equations have?

Back

No solution.

Front

If two equations represent the same line, how many solutions does the system have?

Back

Infinitely many solutions.