Question

Solve for x: 9x + 16 = 6x + 1.
A. x = -5
B. x = -4
C. x = 6
D. x = 3

Answer 1

are you positive this is correct

Answer 2

To solve the equation \(9x + 16 = 6x + 1\), we can start by isolating \(x\).

1. Subtract \(6x\) from both sides:
\[
9x - 6x + 16 = 1
\]
Simplifying gives:
\[
3x + 16 = 1
\]

2. Next, subtract \(16\) from both sides:
\[
3x = 1 - 16
\]
Simplifying gives:
\[
3x = -15
\]

3. Finally, divide both sides by \(3\):
\[
x = -5
\]

Thus, the solution is \( x = -5 \).

The correct answer is **A. x = -5**.

Answer 3

Let me verify the solution step-by-step to ensure accuracy.

Given the equation:

\[
9x + 16 = 6x + 1
\]

1. **Subtract \(6x\) from both sides:**
\[
9x - 6x + 16 = 1
\]
This simplifies to:
\[
3x + 16 = 1
\]

2. **Subtract \(16\) from both sides:**
\[
3x = 1 - 16
\]
This simplifies to:
\[
3x = -15
\]

3. **Divide both sides by \(3\):**
\[
x = \frac{-15}{3}
\]
This simplifies to:
\[
x = -5
\]

Yes, I am confident that the solution is correct. The answer is \( \text{A. } x = -5 \).