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This type of experiment is common. For example, which of the elements of the new poultry feed produced the best outcome for the least cost? -- A common industrial task. This is solved by the use of simultaneous equations. The extreme example of a multi-variable experiment is in the cat-scan or similar measurement, where many thousand simultaneous equations are solved in a similar number of variables, to produce the end result. These numeric analyses could never be solved using human calculation power, for the analysis time would be too long. Only with the digital computer, and an algorithm for solving massive simultaneous equations, did this become possible.

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Q: How can yu identify the three variables in an experiment?
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