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.

She did not divide both sides by −1
.
She did not divide both sides by negative 1 .

She did not make any errors.
She did not make any errors.

She subtracted 7 from both sides.

Answer 1

Angie made an error when she subtracted 7 from both sides of the equation.

Here's the corrected step-by-step breakdown:

Starting from the original equation: \[ -x + 7 = -11 \]

To isolate \( -x \), she should subtract 7 from both sides: \[ -x = -11 - 7 \] Calculating the right-hand side gives: \[ -x = -18 \]

Next, to solve for \( x \), she needs to divide both sides by -1: \[ x = 18 \]

So, Angie made an error in her calculations. The correct response would be that she subtracted incorrectly when moving terms around. Thus, the best fit would be:

She subtracted 7 from both sides.