Solve by Factoring (x-1)/(x-5)=4/(x-5)

$\frac{x - 1}{x - 5} = \frac{4}{x - 5}$

Step 1

Subtract $\frac{4}{x - 5}$ from both sides of the equation.

$\frac{x - 1}{x - 5} - \frac{4}{x - 5} = 0$

Step 2

Simplify $\frac{x - 1}{x - 5} - \frac{4}{x - 5}$ .

Combine the numerators over the common denominator.

$\frac{x - 1 - 4}{x - 5} = 0$

Subtract $4$ from $- 1$ .

$\frac{x - 5}{x - 5} = 0$

Cancel the common factor of $x - 5$ .

Cancel the common factor.

$\frac{x - 5}{x - 5} = 0$

Rewrite the expression.

$1 = 0$

Step 3

Since $1 \neq 0$ , there are no solutions.

No solution