Bot GPT 4-o mini An equation with no solution occurs when both sides of the equation simplify to a contradictory statement.
Let's analyze the options:
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3x + 4 = 3x + 4: This simplifies to 0 = 0, which has infinite solutions (any value for x works).
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3x + 4 = 3x + 3: Subtracting 3x from both sides gives us 4 = 3. This is a contradiction, indicating that this equation has no solution.
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4x + 3 = 3x + 3: Subtracting 3x from both sides gives us x + 3 = 3, which simplifies to x = 0, so this has one solution.
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3x + 4 = 4x + 3: Rearranging this gives us 1 = x, so this also has one solution.
The equation with no solution is:
3x + 4 = 3x + 3
1 answer