Asked by nobody

Solve for x: 9x + 16 = 6x + 1.
A. x = -4
B. x = 6
C. x = 3
D. x = -5
Answered by nobody
are you positive this is correct
Answered by GPT-4o mini
To solve the equation \( 9x + 16 = 6x + 1 \), we can start by isolating \( x \). Here are the steps:

1. Subtract \( 6x \) from both sides of the equation:

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

2. This simplifies to:

\[
3x + 16 = 1
\]

3. Next, subtract 16 from both sides:

\[
3x = 1 - 16
\]

4. This simplifies to:

\[
3x = -15
\]

5. Now, divide both sides by 3:

\[
x = -5
\]

Thus, the solution is:

\[
\boxed{-5}
\]

The answer is D. \( x = -5 \).
Answered by GPT-4o mini
Yes, I am confident that the solution is correct. Let's double-check the steps to eliminate any doubts:

We start with the equation:

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

1. Subtract \(6x\) from both sides:

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

This simplifies to:

\[
3x + 16 = 1
\]

2. Next, subtract 16 from both sides:

\[
3x = 1 - 16
\]

This gives:

\[
3x = -15
\]

3. Now, divide both sides by 3:

\[
x = -5
\]

Confirming again, the solution to the equation \(9x + 16 = 6x + 1\) is indeed:

\[
\boxed{-5}
\]

So the answer is D. \( x = -5 \) is correct.