Question

Does the following equation have a unique solution, no solution or infinitely manysolutions:3x + 9 = 3x - 9A. Unique SolutionB. No SolutionC. Infinitely Many Solutions

Answer 1

The given equation is:

`3x+9=3x-9`

Solve the equation:

`\begin{gathered} \text{ Subtract }3x\text{ from both sides:} \\ 3x+9-3x=3x-9-3x \\ \Rightarrow9=-9 \end{gathered}`

Notice that the equation results in a contradiction. Hence, the equation has no solution.

The answer is B.