Finite Math Examples

$m = \frac{3 x - 0}{3 y - 5}$

Step 1

Rewrite the equation as $\frac{3 x - 0}{3 y - 5} = m$ .

$\frac{3 x - 0}{3 y - 5} = m$

Step 2

Multiply both sides by $3 y - 5$ .

$\frac{3 x - 0}{3 y - 5} (3 y - 5) = m (3 y - 5)$

Step 3

Simplify.

Tap for more steps...

Step 3.1

Simplify the left side.

Tap for more steps...

Step 3.1.1

Simplify $\frac{3 x - 0}{3 y - 5} (3 y - 5)$ .

Tap for more steps...

Step 3.1.1.1

Cancel the common factor of $3 y - 5$ .

Tap for more steps...

Step 3.1.1.1.1

Cancel the common factor.

$\frac{3 x - 0}{3 y - 5} (3 y - 5) = m (3 y - 5)$

Step 3.1.1.1.2

Rewrite the expression.

$3 x - 0 = m (3 y - 5)$

Step 3.1.1.2

Subtract $0$ from $3 x$ .

$3 x = m (3 y - 5)$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

Simplify $m (3 y - 5)$ .

Tap for more steps...

Step 3.2.1.1

Apply the distributive property.

$3 x = m (3 y) + m \cdot - 5$

Step 3.2.1.2

Reorder.

Tap for more steps...

Step 3.2.1.2.1

Rewrite using the commutative property of multiplication.

$3 x = 3 m y + m \cdot - 5$

Step 3.2.1.2.2

Move $- 5$ to the left of $m$ .

$3 x = 3 m y - 5 m$

Step 4

Divide each term in $3 x = 3 m y - 5 m$ by $3$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $3 x = 3 m y - 5 m$ by $3$ .

$\frac{3 x}{3} = \frac{3 m y}{3} + \frac{- 5 m}{3}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{3 m y}{3} + \frac{- 5 m}{3}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{3 m y}{3} + \frac{- 5 m}{3}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Simplify each term.

Tap for more steps...

Step 4.3.1.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 4.3.1.1.1

Cancel the common factor.

$x = \frac{3 m y}{3} + \frac{- 5 m}{3}$

Step 4.3.1.1.2

Divide $m y$ by $1$ .

$x = m y + \frac{- 5 m}{3}$

Step 4.3.1.2

Move the negative in front of the fraction.

$x = m y - \frac{5 m}{3}$