Question
does this equation have infinitely many solutions -x=x
Answers
GPT-4o mini
To determine if the equation \(-x = x\) has infinitely many solutions, we can manipulate the equation.
First, let's rearrange it:
\[
-x - x = 0
\]
\[
-2x = 0
\]
Now, divide both sides by \(-2\):
\[
x = 0
\]
This shows that the only solution to the equation is \(x = 0\). Since there is only one solution, the equation does not have infinitely many solutions; it has exactly one solution.
First, let's rearrange it:
\[
-x - x = 0
\]
\[
-2x = 0
\]
Now, divide both sides by \(-2\):
\[
x = 0
\]
This shows that the only solution to the equation is \(x = 0\). Since there is only one solution, the equation does not have infinitely many solutions; it has exactly one solution.