Can I get a jump start in solving this

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Homework Help Overview

The problem involves determining the nature of a system of equations, specifically whether it is independent, inconsistent, or dependent. The equations provided are 3x – 4y = 8 and 0.75x – y = -2.

Discussion Character

  • Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss definitions of independent, dependent, and inconsistent systems. There is mention of methods to determine the nature of the system, including attempting to solve the equations.

Discussion Status

The discussion includes attempts to analyze the equations and check for consistency. Some participants provide guidance on definitions and methods, while others share their interpretations of the results without reaching a definitive consensus.

Contextual Notes

There is a suggestion that the original poster may need to clarify their understanding of key terms related to systems of equations. The discussion reflects varying levels of familiarity with the concepts involved.

dr_pooool
Determine whether the following system is independent, inconsistent, or dependent.
3x – 4y = 8

0.75x – y = -2
 
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Are you saying that you do not know what "independent", "dependent", or "inconsistent" mean? I think you would be better served by looking up the definitions yourself in your textbook.

There are a number of ways of determining whether or not a system of equations is "independent" or "consistent" but the simplest is to try to solve the equations and see what happens.
 
Is this correct?

3x – 4y = 8
.75x - y = -2
so,
-4(0.75x – y) = (-2)-4
-3x + 4y = 8
0=16 This is inconsistent
 
Yep, you've got it!
 

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