Answer:
We can conclude that only option B is correct.
Step-by-step explanation:
A. The equation 3(3x - 2) - 4 = 5x has a solution.
Solving it we get,
3(3x - 2) - 4 = 5x
⇒ 9x - 6 - 4 = 5x
⇒ 4x = 10
⇒ x = 2.5
B. The equation 4(2x - 3) - 5 = 4x has exactly one solution.
Solving it we get,
4(2x - 3) - 5 = 4x
⇒ 8x - 12 - 5 = 4x
⇒ 4x = 17
⇒ x = 4.25
C. The equation 5(3x - 2) - 2 = 3x also has exactly one solution.
Solving it we get,
5(3x - 2) - 2 = 3x
⇒ 15x - 10 - 2 = 3x
⇒ 12x = 12
⇒ x = 1
D. The equation 6(2x - 3) - 3 = 2x also has exactly one solution.
Solving it we get,
6(2x - 3) - 3 = 2x
⇒ 12x - 18 - 3 = 2x
⇒ 10x = 21
⇒ x = 2.1
Therefore, we can conclude that only option B is correct. (Answer)
