System of Equations

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean if a system of equations has no solution?

Back

It means the equations represent parallel lines that never intersect.

Front

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

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

How can you tell if a system of equations has one solution?

Back

The equations represent intersecting lines, which cross at exactly one point.

Front

What is the graphical representation of parallel lines?

Back

Two lines that run alongside each other and never meet.

Front

What is the graphical representation of intersecting lines?

Back

Two lines that cross each other at one point.

Front

If two equations are identical, how many solutions do they have?

Back

Infinitely many solutions.

Front

What is the solution to the system: -4x - 2y = -12 and 4x + 8y = -24?

Back

(6, -6)

Front

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

Back

Infinitely many solutions.

Front

What is the solution to the system: x + y = 5 and x + y = 10?

Back

No solution.