Bot GPT 4-o mini To solve the equation \( \frac{2}{x-3} = \frac{5}{x-3} \), we first notice that both sides of the equation involve the same denominator, \( x - 3 \). We can eliminate the denominators by multiplying both sides of the equation by \( x - 3 \), provided that \( x \neq 3 \) to avoid division by zero:
\[ 2 = 5 \]
This result is a contradiction and indicates that \( 2 \) does not equal \( 5 \). Therefore, there is no solution for \( x \) that satisfies the equation.
In conclusion, the solution to the equation \( \frac{2}{x-3} = \frac{5}{x-3} \) is no solution.
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