X + y = z (constant) - what variation is that?

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The equation x + y = z, where z is a constant, does not represent direct or inverse variation since it involves addition rather than multiplication. Direct variation is exemplified by equations like x*z = y, while inverse variation is shown through x*y = z. The discussion highlights that direct and inverse variations are based on proportional relationships, which do not apply to the given equation. The participants clarify that addition does not fit into the framework of variations typically defined by multiplication. Therefore, the equation x + y = z does not express a standard type of variation.
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I have the equation x + y = z. Z is a constant. What type of variation is expressed here?

An example of direct variation is x*z = y.
An example of inverse variation of x * y = z.
In both examples, z is a constant.

So what's the answer?
 
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Direct and indirect variations are essentially proportions, right? How are you using addition?
 
There is no "proportion" here.
 
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