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Solve for x: 9x + 16 = 6x + 1.

A. x = -5
B. x = -4
C. x = 6
D. x = 3

3 answers

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.

are you positive this is correct

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 \( \text{A. } x = -5 \).