4.13: Systems by Graphing

Front

A system of equations with one solution will have lines that...

Back

cross in one place.

Front

What is the solution to the system of equations?

Back

(6, 3)

Front

A system has ____________ when two lines intersect at one point.

Back

One solution.

Front

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

Back

No solution.

Front

A system of equations with no solution will have lines that...

Back

are parallel and never touch.

Front

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

Back

They have infinitely many solutions.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection of the lines representing the equations.

Front

If a system of equations has infinitely many solutions, what can be said about the lines?

Back

They are the same line.

Front

What is the term for the point where two lines intersect?

Back

Solution of the system.

Front

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

Back

The lines are parallel and do not intersect.