Which of the following is an example of an equation with no solution?(1 point)

Question

Responses

3x+4=3x+4
3 x plus 4 equals 3 x plus 4

3x+4=3x+3
3 x plus 4 equals 3 x plus 3

4x+3=3x+3
4 x plus 3 equals 3 x plus 3

3x+4=4x+3
3 x plus 4 equals 4 x plus 3
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Answer 1

An equation with no solution occurs when both sides of the equation simplify to a contradictory statement.

Let's analyze the options:

1. 3x + 4 = 3x + 4: This simplifies to 0 = 0, which has infinite solutions (any value for x works).

2. 3x + 4 = 3x + 3: Subtracting 3x from both sides gives us 4 = 3. This is a contradiction, indicating that this equation has no solution.

3. 4x + 3 = 3x + 3: Subtracting 3x from both sides gives us x + 3 = 3, which simplifies to x = 0, so this has one solution.

4. 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