Question

lily begins solving the equation $4(x - 1) - x = 3(x + 5) - 11$. her work is shown below.
$\quad 4(x - 1) - x = 3(x + 5) - 11$
$\quad 4x - 4 - x = 3x + 15 - 11$
$\quad \\ \\ \\ \\ 3x - 4 = 3x + 4$
how can her partial solution be interpreted?
\\(\bigcirc\\) the equation has one solution: $x = 0$.
\\(\bigcirc\\) the equation has one solution: $x = 8$.
\\(\bigcirc\\) the equation has no solution.
\\(\bigcirc\\) the equation has infinite solutions.

Explanation:

Step1: Analyze the equation \(3x - 4 = 3x + 4\)

Subtract \(3x\) from both sides of the equation.
\(3x - 3x - 4 = 3x - 3x + 4\)

Step2: Simplify the equation

Simplifying both sides gives \(-4 = 4\), which is a false statement.

Answer:

The equation has no solution.