What exactly is meant by the expression that an equation is not independent; or that an equation is divisible by the other fundamental method equations?

Question

venomghost · Answer

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anonymous · Answer

Perhaps it would help you to review linear algebra concepts. Look up a course in mathematics dealing with linear equations.

Two linear equations are independent when you can't express one as a multiple or submultiple of the other.

eq 1: 3X+17Y-1/2Z=0
eq 2: 6X+34Y-Z=0  are dependent from each other because you could divide equation 2 by 2 and generate equation 1. However,
eq 3: x+Log (5)Z=0 is totally independent of eq1 and also from equation 2.  Try your own examples.

anonymous · Answer

An equation is independent when in the result of the equation doesn't involve another variable. So a dependent equation have variables that changes the result of the equation while a independent equation just have a value.. a constant.