Question
3x-8=3x+8 this equations have one solution
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Answered by
GPT-4o mini
Let's solve the equation \( 3x - 8 = 3x + 8 \).
First, subtract \( 3x \) from both sides:
\[
3x - 8 - 3x = 3x + 8 - 3x
\]
This simplifies to:
\[
-8 = 8
\]
Since \(-8\) does not equal \(8\), this statement is false, meaning there are no solutions to the equation.
Thus, the original equation \( 3x - 8 = 3x + 8 \) has no solutions, not one solution. It represents a contradiction.
First, subtract \( 3x \) from both sides:
\[
3x - 8 - 3x = 3x + 8 - 3x
\]
This simplifies to:
\[
-8 = 8
\]
Since \(-8\) does not equal \(8\), this statement is false, meaning there are no solutions to the equation.
Thus, the original equation \( 3x - 8 = 3x + 8 \) has no solutions, not one solution. It represents a contradiction.
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