Question

Angie is solved in the equation negative X + 7 equal negative 11.Her solution is as fallen.Negative X plus 7 equal negative 11.Negative 7 and negative 7 subtract, 7 from both sides X equals.Negative 18 negative 11 − 7 equals negative 18.And which part of the solution if you needed.Ain't you make an error. A. She subtracted-11and -7 incorrectly b. She didn't make any errors d. She didn't divide both sides by -1

Answer 1

Let's go over the equation step by step to see if there are any errors in Angie's solution.

The original equation is:
\[
-x + 7 = -11
\]

1. **Subtract 7 from both sides**:
\[
-x + 7 - 7 = -11 - 7
\]
This simplifies to:
\[
-x = -18
\]

2. **Now, multiply both sides by -1 to solve for x**:
\[
x = 18
\]

Now let's analyze the possible errors in Angie's solution based on the options provided:

A. **She subtracted -11 and -7 incorrectly**: This option is incorrect, as Angie didn’t actually do this step correctly. She correctly subtracted 7 from both sides.

B. **She didn't make any errors**: This is incorrect, as the final answer is not stated correctly. The solution is \( x = 18\) and not \( -18 \).

C. **She didn't divide both sides by -1**: This is correct because after finding \(-x = -18\), she needed to multiply both sides by \(-1\) to get the correct positive solution: \(x = 18\).

So, the correct answer is **C. She didn't divide both sides by -1.**