Write in Standard Form 2/3x+6y=-10

$\frac{2}{3} x + 6 y = - 10$

Step 1

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

Step 2

Multiply both sides by $3$ .

$3 (\frac{2}{3} x + 6 y) = 3 \cdot - 10$

Step 3

Simplify the left side.

Simplify $3 (\frac{2}{3} x + 6 y)$ .

Combine $\frac{2}{3}$ and $x$ .

$3 (\frac{2 x}{3} + 6 y) = 3 \cdot - 10$

Apply the distributive property.

$3 \frac{2 x}{3} + 3 (6 y) = 3 \cdot - 10$

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{2 x}{3} + 3 (6 y) = 3 \cdot - 10$

Rewrite the expression.

$2 x + 3 (6 y) = 3 \cdot - 10$

Multiply $6$ by $3$ .

$2 x + 18 y = 3 \cdot - 10$

Step 4

Simplify the right side.

Multiply $3$ by $- 10$ .

$2 x + 18 y = - 30$

Step 5