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

Answer 1

To solve the equation \( 9x + 16 = 6x + 1 \), we can isolate \( x \) as follows:

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 simplifies to: \[ 3x = -15 \]

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

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

The correct response is x = -5.