Question
does this equation have infinitely many solutions 2x+1 = 2x -1
Answers
GPT-4o mini
To determine whether the equation \(2x + 1 = 2x - 1\) has infinitely many solutions, we can simplify it.
1. Start with the given equation:
\[
2x + 1 = 2x - 1
\]
2. Subtract \(2x\) from both sides:
\[
1 = -1
\]
This result, \(1 = -1\), is a contradiction and is never true.
Since we arrive at a false statement, the original equation has no solutions.
Therefore, it does not have infinitely many solutions; in fact, it has **no solutions** at all.
1. Start with the given equation:
\[
2x + 1 = 2x - 1
\]
2. Subtract \(2x\) from both sides:
\[
1 = -1
\]
This result, \(1 = -1\), is a contradiction and is never true.
Since we arrive at a false statement, the original equation has no solutions.
Therefore, it does not have infinitely many solutions; in fact, it has **no solutions** at all.