Name: How Do You Set up a System of Equations from a Word Problem?
Uploaded: 2023-06-13T07:24:31.284Z
Channel: House of Math
Description: Creating a system of equations to solve a word problem involves one of the three methods for solving systems of equations. Find out more in this video.

Creating a system of equations to solve a word problem involves one of the three methods for solving systems of equations. Find out more in this video.

How Do You Set up a System of Equations from a Word Problem?

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

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

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

Method where you use substitution of one expression in another to find the solution

Method where you eliminate one variable by adding equations together

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.

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 

Mathagon

Definition

Graphical Method

Possible Number of Solutions

Substitution Method

Elimination Method

Set up a System of Equations

Systems of Equations

Creating a system of equations to solve a word problem involves one of the three methods for solving systems of equations. Find out more in this video. 