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Simplify the expression.

−8(x−3y)+5(−2x−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)
Responses

−2x−11y
negative 2 x minus 11 y

18x+59y
18 x plus 59 y

2x+11y
2 x plus 11 y

−18x−11y

1 answer

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

  1. Distribute the terms inside the parentheses: \[ -8(x - 3y) = -8x + 24y \] and \[ 5(-2x - 7y) = -10x - 35y. \]

  2. Combine the distributed terms: \[ -8x + 24y - 10x - 35y. \]

  3. Combine like terms:

    • Combine the \(x\) terms: \[ -8x - 10x = -18x. \]
    • Combine the \(y\) terms: \[ 24y - 35y = -11y. \]

  4. Put it all together: \[ -18x - 11y. \]

Thus, the simplified expression is \(-18x - 11y\). Therefore, the correct response from the options given is:

−18x−11y.