Can I get a jump start in solving this

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The discussion revolves around determining the nature of a system of equations: independent, inconsistent, or dependent. The equations provided are 3x – 4y = 8 and 0.75x – y = -2. A participant suggests solving the equations to identify their relationship, leading to the conclusion that the system is inconsistent. The final calculation shows that the equations do not intersect, confirming the inconsistency. Understanding these concepts is crucial for solving systems of equations effectively.
dr_pooool
Determine whether the following system is independent, inconsistent, or dependant.
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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