Graph Systems of Equations

Front

If a system of equations has no solution, what does the graph look like?

Back

Parallel lines.

Front

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

Back

(1, -1) is the solution.

Front

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

Back

The equations represent the same line.

Front

When you graph the exact same equation twice, what is the result?

Back

You will have infinite solutions.

Front

Why do parallel lines never intersect?

Back

They have the same slopes.

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to be consistent?

Back

It has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

It has no solutions.

Front

What is the graphical representation of a system with one solution?

Back

Two intersecting lines.

Front

How can you determine the solution of a system of equations graphically?

Back

By finding the point of intersection of the lines.