Systems of linear equations

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 a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

The lines representing the equations coincide, meaning they are the same line.

Front

How can you solve a system of linear equations?

Back

By graphing, substitution, or elimination methods.

Front

What is the graphical representation of a system of equations?

Back

The solution is where the lines intersect on a graph.

Front

What is the solution to the system: -4x - 4y = 0 and 4x + 4y = 0?

Back

Infinite number of solutions.

Front

What is the solution to the system: 3x + 2y = 16 and 7x + y = 19?

Back

(2, 5).

Front

What does the graph of intersecting lines indicate about a system of equations?

Back

It indicates that there is a unique solution.

Front

What is the solution to the system: 2x + 3y = 6 and 4x + 6y = 12?

Back

Infinite number of solutions.

Front

What is the solution to the system: 2x + y = 5 and x - y = 1?

Back

(2, 1).