Name: How Many Solutions Can a Linear System of Equations Have?
Uploaded: 2023-06-13T07:24:31.284Z
Channel: House of Math
Description: When solving a linear system of equations, there are three possible outcomes: One solution, no solutions, or infinite solutions. Discover why in this video.

When solving a linear system of equations, there are three possible outcomes: One solution, no solutions, or infinite solutions. Discover why in this video.

How Many Solutions Can a Linear System of Equations Have?

A collection of two or more equations, that has two or more variables

You use the graphs to find the solution, by finding the point of intersection. The solution is the coordinates of the intersection point.

A symbol, often a letter from the alphabet, which represents an unknown value.

If a term is moved to the other side of the equation, you need to change its sign in the process

A tool for representing points using a pair of numerical values as coordinates. Consists of two axes, 

-axis and four sections called a quadrants.

. By plotting these in a coordinate system you can visualize the relationship between the input, 

, of the function. This is what we mean by drawing a graph.

The ratio between the change in y coordinates and the change in x coordinates (rise over run). It describes the steepness of a line.

Tells you where the graph of a function intersects with the 

Mathagon

Definition

Graphical Method

Possible Number of Solutions

Substitution Method

Elimination Method

Set up a System of Equations

Systems of Equations

When solving a linear system of equations, there are three possible outcomes: One solution, no solutions, or infinite solutions. Discover why in this video. 