Systems of Equations solutions and vocab

Front

What is the solution of the system of equations?

Back

The solution is the point where the equations intersect. For example, (1, -1) is a solution.

Front

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

Back

The graph will show parallel lines that never intersect.

Front

How many solutions does a system with intersecting lines have?

Back

One solution.

Front

How many solutions does a system with the same line represented in different forms have?

Back

Infinitely many solutions.

Front

What type of solution does a system of equations with parallel lines have?

Back

No solution.

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

A consistent system has at least one solution.

Front

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

Back

An inconsistent system has no solutions.

Front

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

Back

Two lines that intersect at a single point.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

Two lines that lie on top of each other.