Solve System of Equations by Graphing

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

What does it mean if a system of equations has 0 solutions?

Back

The lines are parallel and never intersect.

Front

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

Back

The lines are intersecting.

Front

What is the solution to the system of equations: y = 2x + 1 and y = -x + 5?

Back

(4, 9)

Front

What is the solution to the system of equations: y = 3x - 2 and y = -2x + 4?

Back

(2, 4)

Front

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

Back

They have no solutions.

Front

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

Back

The two lines overlap completely.

Front

How can you determine the solution of a system of equations by graphing?

Back

Find the point where the two lines intersect.

Front

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

Back

(1, 4)

Front

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

Back

No solution (the lines are parallel).