lily begins solving the equation 4(x - 1) - x = 3(x + 5) - 11. her work is shown below.\n4(x - 1) - x = 3(x…

lily begins solving the equation 4(x - 1) - x = 3(x + 5) - 11. her work is shown below.\n4(x - 1) - x = 3(x + 5) - 11\n4x - 4 - x = 3x + 15 - 11\n3x - 4 = 3x + 4\nhow can her partial solution be interpreted?\nthe equation has one solution: x = 0.\nthe equation has one solution: x = 8.\nthe equation has no solution.\nthe equation has infinite solutions.
Answer
Explanation:
Step1: Analyze the equation
We have $3x - 4=3x + 4$.
Step2: Try to solve for x
Subtract $3x$ from both sides: $3x-3x - 4=3x-3x + 4$, which simplifies to $- 4=4$. This is a contradiction.
Answer:
The equation has no solution.