Finite Math Examples

$\frac{1}{2} x + \frac{2}{3} y = 0$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Combine $\frac{1}{2}$ and $x$ .

$\frac{x}{2} + \frac{2}{3} y = 0$

Step 1.2

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

$\frac{x}{2} + \frac{2 y}{3} = 0$

Step 2

Subtract $\frac{x}{2}$ from both sides of the equation.

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

Step 3

Multiply both sides of the equation by $\frac{3}{2}$ .

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

Step 4

Simplify both sides of the equation.

Tap for more steps...

Step 4.1

Simplify the left side.

Tap for more steps...

Step 4.1.1

Simplify $\frac{3}{2} \cdot \frac{2 y}{3}$ .

Tap for more steps...

Step 4.1.1.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 4.1.1.1.1

Cancel the common factor.

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

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{2} (2 y) = \frac{3}{2} (- \frac{x}{2})$

Step 4.1.1.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 4.1.1.2.1

Factor $2$ out of $2 y$ .

$\frac{1}{2} (2 (y)) = \frac{3}{2} (- \frac{x}{2})$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{2} (2 y) = \frac{3}{2} (- \frac{x}{2})$

Step 4.1.1.2.3

Rewrite the expression.

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

Step 4.2

Simplify the right side.

Tap for more steps...

Step 4.2.1

Multiply $\frac{3}{2} (- \frac{x}{2})$ .

Tap for more steps...

Step 4.2.1.1

Multiply $\frac{3}{2}$ by $\frac{x}{2}$ .

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

Step 4.2.1.2

Multiply $2$ by $2$ .

$y = - \frac{3 x}{4}$