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Simplify the expression. If the expression cannot be simplified, so state. \[ 9 x-[5 x-(2 x-3 y)]-8 y \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The result is B. The expression cannot be simplified.

Ask by Hardy Todd. in the United States
Feb 04,2025

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The result is \(6x - 11y\).

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To simplify the expression \( 9x - [5x - (2x - 3y)] - 8y \), we start by simplifying inside the brackets: First, simplify \( 2x - 3y \): \[ - (2x - 3y) = -2x + 3y \] Now substitute this back into the expression: \[ 9x - [5x - 2x + 3y] - 8y \] Now simplify \( 5x - 2x + 3y \): \[ 5x - 2x = 3x \] So, we have: \[ 9x - [3x + 3y] - 8y \] Next, simplify: \[ - [3x + 3y] = -3x - 3y \] Substituting it all back gives: \[ 9x - 3x - 3y - 8y \] Combine like terms: \[ (9x - 3x) + (-3y - 8y) = 6x - 11y \] So the final simplified expression is: \[ 6x - 11y \] A. The result is \( 6x - 11y \)

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