Which of the following is an example of an equation with exactly one solution?(1 point) Responses 3x+4=4x+3 3 x plus 4 equals 4 x plus 3 4x+3=4x+3 4 x plus 3 equals 4 x plus 3 3x+4=3x+3 3 x plus 4 equals 3 x plus 3 3x+4=3x+4

Answer 1

The equation with exactly one solution from the options provided is:

3x + 4 = 4x + 3

To see why, we can rearrange this equation:

1. Subtracting \(3x\) from both sides gives: \[ 4 = x + 3 \]
2. Then, subtracting \(3\) from both sides gives: \[ x = 1 \]

Thus, the equation \(3x + 4 = 4x + 3\) has exactly one solution: \(x = 1\).

The other options either represent identities (which have infinite solutions) or equations that are never true (which have no solutions).