Write in Standard Form y=5/7x-12

$y = \frac{5}{7} x - 12$

Step 1

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

Step 2

Multiply both sides by $7$ .

$7 y = 7 (\frac{5}{7} x - 12)$

Step 3

Simplify the right side.

Simplify $7 (\frac{5}{7} x - 12)$ .

Combine $\frac{5}{7}$ and $x$ .

$7 y = 7 (\frac{5 x}{7} - 12)$

Apply the distributive property.

$7 y = 7 \frac{5 x}{7} + 7 \cdot - 12$

Cancel the common factor of $7$ .

Cancel the common factor.

$7 y = 7 \frac{5 x}{7} + 7 \cdot - 12$

Rewrite the expression.

$7 y = 5 x + 7 \cdot - 12$

Multiply $7$ by $- 12$ .

$7 y = 5 x - 84$

Step 4

Rewrite the equation.

$5 x - 84 = 7 y$

Step 5

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

Subtract $7 y$ from both sides of the equation.

$5 x - 84 - 7 y = 0$

Move $- 84$ .

$5 x - 7 y - 84 = 0$

Step 6

Add $84$ to both sides of the equation.

$5 x - 7 y = 84$

Step 7