Given the equation 8x−3y=2x+9y , which of the following statements is correct?(1 point)

1 answer

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:

  1. Move \(2x\) to the left side: \[ 8x - 2x - 3y = 9y \] \[ 6x - 3y = 9y \]

  2. Move \(-3y\) to the right side: \[ 6x = 9y + 3y \] \[ 6x = 12y \]

  3. 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.

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