Question

Question

Solve for x : 9x+16=6x+1 .(1 point)
Responses

x=3
x equals 3

x=−5
x equals negative 5

x=6
x equals 6

x=−4

Answer 1

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

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

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

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

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

So the correct response is: x = −5.