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

Front

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

Back

Parallel Lines

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 infinite many solutions, what type of lines does the graph have?

Back

Coinciding Lines

Front

What is true about the common points a linear system with parallel lines has?

Back

The graphed lines have no points in common.

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 coinciding?

Back

They lie on top of each other and have infinite solutions.

Front

What does it mean for two lines to be parallel?

Back

They never intersect and have no solutions.

Front

What does it mean for two lines to intersect?

Back

They cross at exactly one point, representing a single solution.

Front

How can you determine if a system of equations has no solution graphically?

Back

If the lines are parallel and do not meet.