Question

Construct a system of equations that is dependent. Explain how you created your system.

Name: Problem 95, Chapter 4: Intermediate Algebra for College Students
Uploaded: 2020-05-23T18:42:35-08:00
Duration: 1 min 19 s
Channel: Heather Zimmers
Description: Construct a system of equations that is dependent. Explain how you created your system.

   Construct a system of equations that is dependent. Explain how you created your system.

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 4, Problem 95

Instant Answer

Solved by Expert Heather Zimmers

05/23/2020

Step 1

First, we need to create an equation with two variables, say x and y. Let's start with a simple one: x + y = 5. This is our first equation. Show more…

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Construct a system of equations that is dependent. Explain how you created your system.

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Key Concepts

Dependent System

A dependent system is a set of equations where at least one equation is a scalar multiple of another, meaning they represent the same line or plane. This results in infinitely many solutions because each equation does not add new information, but rather reiterates the same relationship.

System of Equations

A system of equations is a collection of two or more equations with common variables. The goal is to find values for these variables that satisfy every equation in the system simultaneously, which defines the solution set.

Constructing Dependent Systems

To construct a dependent system, you can start with a single equation and then create additional equations by multiplying the original equation by a nonzero constant. This process guarantees that every equation in the system is equivalent, ensuring that the system has infinitely many solutions.

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