Determine whether the following equation represents a linear or non-linear function. Provide steps if possible. 2x+ 3y= 9xy
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Answer

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Step 1
: Identify the given equation.

The given equation is $2x + 3y = 9xy$.

Step 2
: Understand the difference between linear and non-linear functions.

A linear function has a degree of 1, meaning the highest power of the variable(s) in the function is 1. A non-linear function has a degree greater than 1, meaning the highest power of the variable(s) in the function is greater than 1.

Final Answer

The given equation $2x + 3y = 9xy$ represents a non-linear function.