Types of Solutions: Systems of Linear Equations

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel Lines.

Front

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

Back

No solution.

Front

What happens when you graph the exact same equation twice?

Back

You will have infinite solutions.

Front

How can you tell if there will be one solution when two equations are in slope-intercept form?

Back

The equations have a different slope.

Front

What is the solution of the system of equations represented by the point (1, -1)?

Back

(1, -1) is the solution.

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean if two lines intersect at a point on a graph?

Back

The system has one unique solution.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if two lines have the same slope but different y-intercepts?

Back

The lines are parallel and the system has no solution.

Front

What is an example of a system of equations with infinitely many solutions?

Back

y = 2x + 3 and 2y = 4x + 6.