Systems of Equations

Front

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

Back

Parallel lines.

Front

Solve for x and y: 3x + 2y = 16 and 7x + y = 19

Back

(2,5)

Front

Why do parallel lines never intersect?

Back

They have the same slopes.

Front

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

Back

The two lines are intersecting lines.

Front

Solve the system: 3x - y = 7 and 2x + y = 3

Back

(2,-1)

Front

What is a system of equations?

Back

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

Front

What is the solution of a system of equations?

Back

The point(s) where the graphs of the equations intersect.

Front

What are the possible outcomes of a system of equations?

Back

One solution, no solution, or infinitely many solutions.

Front

What does it mean if two lines are coincident?

Back

They are the same line and have infinitely many solutions.

Front

How can you determine if two lines are parallel from their equations?

Back

If they have the same slope but different y-intercepts.