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 −18x−11y negative 18 x minus 11 y 2x+11y

Question

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  −18x−11y negative 18 x minus 11 y  2x+11y

GPT-4o mini · Answer

To simplify the expression $-8(x - 3y) + 5(-2x - 7y)$, we will distribute and then combine like terms. Here are the steps shown clearly: 1. **Distribute** the $-8$ and $5$ across their respective parentheses: $$ -8(x - 3y) = -8x + 24y $$ $$ 5(-2x - 7y) = -10x - 35y $$ 2. **Combine the results** from both distributions: $$ -8x + 24y - 10x - 35y $$ 3. **Combine like terms**: - For the $x$ terms: $$ -8x - 10x = -18x $$ - For the $y$ terms: $$ 24y - 35y = -11y $$ 4. **Put it all together**: $$ -18x - 11y $$ The simplified expression is: $$ \boxed{-18x - 11y} $$ So, the correct answer is $-18x - 11y$.