Let's simplify the equation \(8x - 3y = 2x + 9y\).
First, we can move all terms involving \(x\) to one side and all terms involving \(y\) to the other side:
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Move \(2x\) to the left side: \[ 8x - 2x - 3y = 9y \] \[ 6x - 3y = 9y \]
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Move \(-3y\) to the right side: \[ 6x = 9y + 3y \] \[ 6x = 12y \]
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Now, divide both sides by 6: \[ x = 2y \]
This means the relationship between \(x\) and \(y\) is \(x = 2y\). This can be used to evaluate statements related to the values of \(x\) and \(y\).
If you provide specific statements to evaluate, I can help determine which one is correct.