systems of equations- how many solutions

Front

If a system of linear equations has one solution, what does this mean about the two lines?

Back

The two lines are intersecting lines.

Front

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

Back

No solution.

Front

How many solutions will a system of equations have if the lines are the same?

Back

Infinitely many solutions.

Front

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

Back

The lines are parallel.

Front

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

Back

The lines are the same line.

Front

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

Back

No solution.

Front

What is the solution to the system of equations: y = x + 2 and y = x + 2?

Back

Infinitely many solutions.

Front

What is the solution to the system of equations: y = 3x + 1 and y = -3x + 7?

Back

(1, 4)

Front

What does the term 'consistent' mean in relation to systems of equations?

Back

A consistent system has at least one solution.

Front

What does the term 'inconsistent' mean in relation to systems of equations?

Back

An inconsistent system has no solutions.