Graphing Systems of Equations

Front

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

Back

The two lines intersect at one point.

Front

What is the solution to the system of equations represented by the lines y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

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

Back

(1, -1)

Front

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

Back

There is no solution to the system.

Front

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

Back

(1, 5)

Front

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

Back

The solution is the point where the two lines intersect.

Front

What is the solution to the system of equations represented by the lines y = -2x + 3 and y = 4x - 1?

Back

(1, 1)

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 is the solution to the system of equations represented by the lines y = 5x - 2 and y = 2x + 1?

Back

(1, 3)

Front

What is the graphical representation of a system of equations?

Back

It is the intersection of the lines representing the equations.