(12/9/24) Systems & Types of Solutions (Graphically) Homework

Front

If you have a system of equations with two lines on top of one another, the system has _____________.

Back

Infinite Many Solutions

Front

If a system of equations has one solution, what type of lines does the graph have?

Back

Intersecting Lines

Front

If a system of equations has no solution, what type of lines does the graph have?

Back

Parallel Lines

Front

What is true about the common points a linear system with coinciding lines? The graphed lines have _______ in common.

Back

All points

Front

If a system of equations has infinite many solutions, what type of lines does the graph have?

Back

Coinciding Lines

Front

Define a system of equations.

Back

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

Front

What does it mean for two lines to be parallel in a system of equations?

Back

They never intersect and have no solutions.

Front

What does it mean for two lines to be coinciding in a system of equations?

Back

They lie on top of each other and have infinite 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 significance of the point of intersection in a system of equations?

Back

It represents the solution to the system.