Solve the Inequality for y 2x-3y<6

$2 x - 3 y < 6$

Step 1

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

$- 3 y < 6 - 2 x$

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 $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

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

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 $- 3$ .

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

Dividing two negative values results in a positive value.

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

Solve the Inequality for y 2x-3y<6

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