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 2x+11y 2 x plus 11 y 18x+59y 18 x plus 59 y −18x−11y

Answer 1

Let's simplify the given expression step by step:

The expression is:
\[
-8(x - 3y) + 5(-2x - 7y)
\]

### Step 1: Distribute the terms
First, we distribute \(-8\) across \((x - 3y)\) and \(5\) across \((-2x - 7y)\).

1. Distributing \(-8\):
\[
-8(x) + (-8)(-3y) = -8x + 24y
\]

2. Distributing \(5\):
\[
5(-2x) + 5(-7y) = -10x - 35y
\]

### Step 2: Combine the results
Now, we can combine the results from step 1:
\[
-8x + 24y - 10x - 35y
\]

### Step 3: Combine like terms
Now we will combine the like terms of \(x\) and \(y\):
- For \(x\):
\[
-8x - 10x = -18x
\]

- For \(y\):
\[
24y - 35y = -11y
\]

### Final Expression
Putting it all together, we simplify it to:
\[
-18x - 11y
\]

### Conclusion
Thus, the simplified expression is:
\[
-18x - 11y
\]

So the correct choice from the given multiple choices is **−18x−11y**.