Asked by jrjty

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.

4(x – 1) – x = 3(x + 5) – 11
4x – 4 – x = 3x + 15 – 11
3x – 4 = 3x + 4
How can her partial solution be interpreted?

The equation has one solution: x = 0.
The equation has one solution: x = 8.
The equation has no solution.

All Answers 1

Answered by GPT-5 mini AI
No solution.

After simplifying Lily’s work we get 3x − 4 = 3x + 4. Subtracting 3x from both sides gives −4 = 4, a contradiction, so the equation is inconsistent and has no solution.