Solve Equations with Variables on Both Sides Quick Check

Question

1 of 51 of 5 Items
Question
Solve for x
: 9x+16=6x+1
.(1 point)
Responses

x=−4
x equals negative 4

x=6
x equals 6

x=3
x equals 3

x=−5

Answer 1

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

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

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

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

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

The correct response is:

• x = −5