Answer:
The 3rd option i.e. 'the equation has no solution' is the correct option.
Step-by-step explanation:
Given the given function
4(x – 1) – x = 3(x + 5) – 11
Lily's work is shown below
4(x – 1) – x = 3(x + 5) – 11
4x – 4 – x = 3x + 15 – 11
3x – 4 = 3x + 4
It is clear that the Left-hand side of the equation is not equal to the right-hand side of the equation as 3x – 4 can not be equal to 3x + 4.
i.e.
3x – 4 ≠ 3x + 4
3x - 3x -4 ≠ 4
-4 ≠ 4
L.H.S ≠ R.H.S
Therefore, the equation has no solution.
Hence, the 3rd option i.e. 'the equation has no solution' is the correct option.
