Solve for x -5x+y=-3

$- 5 x + y = - 3$

Step 1

Subtract $y$ from both sides of the equation.

$- 5 x = - 3 - y$

Step 2

Divide each term in $- 5 x = - 3 - y$ by $- 5$ and simplify.

Divide each term in $- 5 x = - 3 - y$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{- 3}{- 5} + \frac{- y}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{- 3}{- 5} + \frac{- y}{- 5}$

Divide $x$ by $1$ .

$x = \frac{- 3}{- 5} + \frac{- y}{- 5}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$x = \frac{3}{5} + \frac{- y}{- 5}$

Dividing two negative values results in a positive value.

$x = \frac{3}{5} + \frac{y}{5}$