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

Question

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

GPT-4o mini · Answer

To solve the equation $ 9x + 16 = 6x + 1 $, we can follow these steps: 1. Start by isolating $ x $. Subtract $ 6x $ from both sides: $$ 9x - 6x + 16 = 1 $$ This simplifies to: $$ 3x + 16 = 1 $$ 2. Next, subtract 16 from both sides: $$ 3x = 1 - 16 $$ This simplifies to: $$ 3x = -15 $$ 3. Finally, divide both sides by 3: $$ x = -5 $$ Thus, the solution is $ x = -5 $. The correct response is: **x = −5** or **x equals negative 5**.