Simplify the expression.

Question

-8 (х - 3у) + 5 (-2х - 7y)
NOTE: On the sample work, this is a multiple choice question, but on the test, you will be required to show your work for each step to receive credit for this question. Practice writing this out on paper now, so you are prepared to show your work for the test.
(1 point)
• 18x + 59y
• 2x + 11y
• -18х - 11y
• -2x — 11y

Answer 1

To simplify the expression \(-8 (x - 3y) + 5 (-2x - 7y)\), we can follow these steps:

1. Distribute the terms:

   • For the first part \(-8 (x - 3y)\): \[ -8 \cdot x + (-8) \cdot (-3y) = -8x + 24y \]

   • For the second part \(5 (-2x - 7y)\): \[ 5 \cdot (-2x) + 5 \cdot (-7y) = -10x - 35y \]

2. Combine the results from the distribution: \[ -8x + 24y - 10x - 35y \]

3. Combine like terms:

   • Combine the \(x\) terms: \[ -8x - 10x = -18x \]

   • Combine the \(y\) terms: \[ 24y - 35y = -11y \]

4. Final simplified form: \[ -18x - 11y \]

The simplified expression is \(-18x - 11y\).

Answer: -18x - 11y (This corresponds to the third option.)