Algebra Examples

$2 x + 3 y < 0$

Step 1

Solve for $y$ .

Tap for more steps...

Step 1.1

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

$3 y < - 2 x$

Step 1.2

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

Tap for more steps...

Step 1.2.1

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

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

Step 1.2.2

Simplify the left side.

Tap for more steps...

Step 1.2.2.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 1.2.2.1.1

Cancel the common factor.

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

Step 1.2.2.1.2

Divide $y$ by $1$ .

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

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

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

Step 1.2.3

Simplify the right side.

Tap for more steps...

Step 1.2.3.1

Move the negative in front of the fraction.

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

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

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

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

Step 2

Reorder terms.

$y < - (\frac{2}{3} x)$

Step 3

Remove parentheses.

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$