Write in Standard Form -1+y=1/5x

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

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Multiply both sides by $5$ .

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

Step 3

Simplify the left side.

Simplify $5 (- 1 + y)$ .

Apply the distributive property.

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

Multiply $5$ by $- 1$ .

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

Step 4

Simplify the right side.

Simplify $5 (\frac{1}{5} x)$ .

Combine $\frac{1}{5}$ and $x$ .

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

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$- 5 + 5 y = x$

Step 5

Rewrite the equation.

$x = - 5 + 5 y$

Step 6

Subtract $5 y$ from both sides of the equation.

$x - 5 y = - 5$

Step 7