Write as a Set of Linear Factors 2x+3y=6

$2 x + 3 y = 6$

Step 1

Subtract $2 x$ from both sides of the equation.

$3 y = 6 - 2 x$

Step 2

Divide each term in $3 y = 6 - 2 x$ by $3$ and simplify.

Divide each term in $3 y = 6 - 2 x$ by $3$ .

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

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $6$ by $3$ .

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

Move the negative in front of the fraction.

$y = 2 - \frac{2 x}{3}$