Question

Look at the work shown below to solve 4x + 9 = -23.
If the work shown is correct = TRUE
If the work shown is incorrect = FALSE
4х + 9 = -23
4х + 9-9 =-23-9
4х =
-32
4x
-32
-4
-4
x = 8
• True
False

Answer 1

The work shown is incorrect.

Here is the correct solution to the equation \( 4x + 9 = -23 \):

1. Start with the original equation:
\[
4x + 9 = -23
\]

2. Subtract 9 from both sides:
\[
4x = -23 - 9
\]
\[
4x = -32
\]

3. Divide both sides by 4:
\[
x = \frac{-32}{4}
\]
\[
x = -8
\]

The final value of \( x \) is \(-8\), not \(8\). Therefore, the answer to whether the work shown is correct is **FALSE**.