Angie is solving the equation −x+7=−11

Question

. Her solution is as follows.

−x+7
=
−11

−7
−7
Subtract 7 from both sides.
x
=
−18
−11−7=−18
.
In which part of the solution, if any, did Angie make an error?

(1 point)
Responses

She subtracted −11
and −7
incorrectly.
She subtracted negative 11 and negative 7 incorrectly. - no response given

She subtracted 7 from both sides.
She subtracted 7 from both sides. - incorrect

She did not make any errors.
She did not make any errors. - no response given

She did not divide both sides by −1
.
She did not divide both sides by negative 1. - no response given
Incorrect

Answer 1

Angie's error occurred when she stated her final result. Let's break down her steps:

1. She started with the equation:
   \(-x + 7 = -11\)

2. She subtracted 7 from both sides:
   \(-x + 7 - 7 = -11 - 7\)
   This simplifies to:
   \(-x = -18\)

3. The next step, which is not shown correctly in her solution, is to solve for \(x\).
   To do this, multiply or divide both sides by \(-1\):
   \(x = 18\)

Instead of arriving at \(x = -18\), Angie should have correctly found that:
\(x = 18\)

So, the part of the solution where Angie made an error is when calculating the final value of \(x\). The correct answer regarding where she made an error would be:

She did not divide both sides by −1.