Systems of Equations: Graphing

Front

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

Back

The two lines are intersecting lines.

Front

What is the solution (x, y) to a system of equations?

Back

It is the point where the two lines intersect.

Front

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

Back

The solution is (1, -1).

Front

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

Back

No solution.

Front

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

Back

The two lines are the same line.

Front

What is the graphical representation of a system of equations?

Back

It is represented by lines on a coordinate plane.

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the solution to the system.

Front

If two lines intersect at one point, how many solutions does the system have?

Back

One solution.

Front

What is the term for a system of equations with no solutions?

Back

Inconsistent system.

Front

What is the term for a system of equations with exactly one solution?

Back

Consistent and independent system.