Systems of Equations Flashcard Review

Front

What is a system of equations?

Back

A set of two or more 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 infinitely many solutions?

Back

The lines representing the equations overlap completely.

Front

What is the graphical representation of intersecting lines?

Back

Two lines that cross at a single point, indicating one unique solution.

Front

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

Back

(3, 2)

Front

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

Back

Infinitely Many Solutions

Front

What is the solution to the system of equations: 3x - 2y = 6 and 3x - 2y = 12?

Back

No Solution

Front

What type of lines represent a system with one solution?

Back

Intersecting Lines

Front

What is the solution to the system of equations: y = 2x + 1 and y = -x + 4?

Back

(1, 3)

Front

What does the graph of parallel lines look like?

Back

Two lines that run alongside each other without ever meeting.