197k views
5 votes
Identify whether the following equation has a unique solution (one solution), nosolution, or infinitely many solutions:3x + 6 = 3x - 4 A. Unique SolutionB. No SolutionC. Infinitely Many Solutions

User Soham
by
5.4k points

1 Answer

6 votes

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given expression


3x+6=3x-4

STEP 2: Simplify the expression

Subtract 3x from both sides


\begin{gathered} 3x+6-3x=3x-4-3x \\ 0+6=-4+0 \\ 6=-4 \end{gathered}

No solution: This type of equation is never true, no matter what we replace the variable with.

Hence, the answer is "No Solution"

User Neutreno
by
4.8k points