Name: How Do You Solve a System of Equations Graphically?
Uploaded: 2023-06-13T07:24:31.284Z
Channel: House of Math
Description: You can solve a system of equations graphically using a process involving converting the equations to functions and drawing their graphs. This video explains.

You can solve a system of equations graphically using a process involving converting the equations to functions and drawing their graphs. This video explains.

How Do You Solve a System of Equations Graphically?

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.

A function is a relationship between two — or more — variables. If you input a number into a function, it can only output one value.

. 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.

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

-axis and four sections called a quadrants.

Every point in the coordinate system has coordinates of the form 

. The first coordinate tells you where the point is along the 

-axis, and the second coordinate tells you where the point is placed along the 

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

A type of function that can be written in the form 

, where m is the slope of the curve and b is the y-intercept. The graph of a linear function is always a straight line.

The horizontal axis in a coordinate system

The vertical axis in a coordinate system. Often called 

Mathagon

Definition

Graphical Method

Possible Number of Solutions

Substitution Method

Elimination Method

Set up a System of Equations

Systems of Equations

You can solve a system of equations graphically using a process involving converting the equations to functions and drawing their graphs. This video explains. 