To determine which of the given equations has exactly one solution, we can analyze each option:
-
3x + 4 = 3x + 3
Subtracting \(3x\) from both sides gives:
\(4 = 3\)
This is a false statement, so it has no solutions. -
3x + 4 = 3x + 4
Subtracting \(3x + 4\) from both sides gives:
\(0 = 0\)
This is always true, so it has infinitely many solutions. -
4x + 3 = 4x + 3
Similar to the previous one, subtracting \(4x + 3\) from both sides gives:
\(0 = 0\)
This also is always true, so it has infinitely many solutions. -
3x + 4 = 4x + 3
Subtracting \(3x\) from both sides gives:
\(4 = x + 3\)
Subtracting 3 from both sides results in:
\(x = 1\)
This equation has exactly one solution, \(x = 1\).
The equation with exactly one solution is:
3x + 4 = 4x + 3.