Write in Standard Form y=-(7x)/9+5

$y = - \frac{7 x}{9} + 5$

Step 1

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

Step 2

Multiply both sides by $9$ .

$9 y = 9 (- \frac{7 x}{9} + 5)$

Step 3

Simplify the right side.

Simplify $9 (- \frac{7 x}{9} + 5)$ .

Apply the distributive property.

$9 y = 9 (- \frac{7 x}{9}) + 9 \cdot 5$

Cancel the common factor of $9$ .

Move the leading negative in $- \frac{7 x}{9}$ into the numerator.

$9 y = 9 \frac{- 7 x}{9} + 9 \cdot 5$

Cancel the common factor.

$9 y = 9 \frac{- 7 x}{9} + 9 \cdot 5$

Rewrite the expression.

$9 y = - 7 x + 9 \cdot 5$

Multiply $9$ by $5$ .

$9 y = - 7 x + 45$

Step 4

Move all terms containing variables to the left side of the equation.

Add $7 x$ to both sides of the equation.

$9 y + 7 x = 45$

Reorder $9 y$ and $7 x$ .

$7 x + 9 y = 45$

Step 5