To determine if \( 3X + 9 = 25 \) represents a linear function, we can first rewrite the equation in the form of \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
Starting with the original equation:
\[ 3X + 9 = 25 \]
We can isolate \( X \):
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Subtract 9 from both sides: \[ 3X = 25 - 9 \] \[ 3X = 16 \]
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Divide both sides by 3: \[ X = \frac{16}{3} \]
This equation does not vary in terms of \( y \); instead, it represents a constant value of \( X \). Therefore, it does not fit the definition of a function that can have a range of outputs for a given input.
So, the answer is no, it is not a linear function.