Solve by Graphing y=(-x-10)/(x-4) , y=x

$y = \frac{- x - 10}{x - 4}$ , $y = x$

Step 1

Simplify $\frac{- x - 10}{x - 4}$ .

Factor $- 1$ out of $- x$ .

$y = \frac{- (x) - 10}{x - 4}$

$y = x$

Rewrite $- 10$ as $- 1 (10)$ .

$y = \frac{- (x) - 1 \cdot 10}{x - 4}$

$y = x$

Factor $- 1$ out of $- (x) - 1 (10)$ .

$y = \frac{- (x + 10)}{x - 4}$

$y = x$

Simplify the expression.

Rewrite $- (x + 10)$ as $- 1 (x + 10)$ .

$y = \frac{- 1 (x + 10)}{x - 4}$

$y = x$

Move the negative in front of the fraction.

$y = - \frac{x + 10}{x - 4}$

$y = x$

$y = - \frac{x + 10}{x - 4}$

$y = x$

$y = - \frac{x + 10}{x - 4}$

$y = x$

Step 2

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

$y = \frac{3 + i \sqrt{31}}{2}, x = \frac{3 + i \sqrt{31}}{2}$

$y = \frac{3 - i \sqrt{31}}{2}, x = \frac{3 - i \sqrt{31}}{2}$

Step 3