Question

Question content area top
Part 1
Solve and check the linear equation.
23minus8xequalsnegative 41
Question content area bottom
Part 1
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
The solution set is StartSet nothing EndSet
  
. ​(Type an integer or a simplified​ fraction.)
B.
The solution set is StartSet x vertical line x is a real number EndSet.
C.
The solution set is empty set.

Answer 1

Let's solve the equation step by step:

The equation we have is:

\[ 23 - 8x = -41 \]

1. **Isolate the term with \(x\)**:
Subtract 23 from both sides:

\[
-8x = -41 - 23
\]

This simplifies to:

\[
-8x = -64
\]

2. **Solve for \(x\)**:
Divide both sides by -8:

\[
x = \frac{-64}{-8} = 8
\]

The solution is \(x = 8\).

Now, let's check if our solution is correct by substituting \(x = 8\) back into the original equation:

\[
23 - 8(8) = 23 - 64 = -41
\]

Since both sides are equal, our solution is correct.

Thus, the solution set is:

**A. The solution set is \(\{ 8 \}\).**