Solve by Graphing x-5y=5 y=-4/5x-6

$x - 5 y = 5$ $y = - \frac{4}{5} x - 6$

Subtract $x$ from both sides of the equation.

$- 5 y = 5 - x$

$y = - \frac{4}{5} x - 6$

Divide each term in $- 5 y = 5 - x$ by $- 5$ and simplify.

Divide each term in $- 5 y = 5 - x$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{5}{- 5} + \frac{- x}{- 5}$

$y = - \frac{4}{5} x - 6$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{5}{- 5} + \frac{- x}{- 5}$

$y = - \frac{4}{5} x - 6$

Divide $y$ by $1$ .

$y = \frac{5}{- 5} + \frac{- x}{- 5}$

$y = - \frac{4}{5} x - 6$

$y = \frac{5}{- 5} + \frac{- x}{- 5}$

$y = - \frac{4}{5} x - 6$

$y = \frac{5}{- 5} + \frac{- x}{- 5}$

$y = - \frac{4}{5} x - 6$

Simplify the right side.

Simplify each term.

Divide $5$ by $- 5$ .

$y = - 1 + \frac{- x}{- 5}$

$y = - \frac{4}{5} x - 6$

Dividing two negative values results in a positive value.

$y = - 1 + \frac{x}{5}$

$y = - \frac{4}{5} x - 6$

$y = - 1 + \frac{x}{5}$

$y = - \frac{4}{5} x - 6$

$y = - 1 + \frac{x}{5}$

$y = - \frac{4}{5} x - 6$

$y = - 1 + \frac{x}{5}$

$y = - \frac{4}{5} x - 6$

Simplify each term.

Combine $x$ and $\frac{4}{5}$ .

$y = - \frac{x \cdot 4}{5} - 6$

$y = - 1 + \frac{x}{5}$

Move $4$ to the left of $x$ .

$y = - \frac{4 x}{5} - 6$

$y = - 1 + \frac{x}{5}$

$y = - \frac{4 x}{5} - 6$

$y = - 1 + \frac{x}{5}$

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

$(- 5, - 2)$