Solve for x : 9x+16=6x+1 .(1 point) Responses x=−5 x equals negative 5 x=3 x equals 3 x=−4 x equals negative 4 x=6

Answer 1

To solve the equation \( 9x + 16 = 6x + 1 \), we can follow these steps:

1. Start by isolating the variable \( x \). Subtract \( 6x \) from both sides:

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

   This simplifies to:

   \[ 3x + 16 = 1 \]

2. Next, subtract 16 from both sides:

   \[ 3x = 1 - 16 \]

   Simplifying that gives:

   \[ 3x = -15 \]

3. Finally, divide both sides by 3:

   \[ x = \frac{-15}{3} \]

   This results in:

   \[ x = -5 \]

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

The response matches as "x = -5" or "x equals negative 5".