Finite Math Examples

$y = - \frac{1}{5} x + 5$

Step 1

Rewrite the equation as $- \frac{1}{5} x + 5 = y$ .

$- \frac{1}{5} x + 5 = y$

Step 2

Combine $x$ and $\frac{1}{5}$ .

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

Step 3

Subtract $5$ from both sides of the equation.

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

Step 4

Multiply both sides of the equation by $- 5$ .

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

Step 5

Simplify both sides of the equation.

Tap for more steps...

Step 5.1

Simplify the left side.

Tap for more steps...

Step 5.1.1

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

Tap for more steps...

Step 5.1.1.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 5.1.1.1.1

Move the leading negative in $- \frac{x}{5}$ into the numerator.

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

Step 5.1.1.1.2

Factor $5$ out of $- 5$ .

$5 (- 1) \frac{- x}{5} = - 5 (y - 5)$

Step 5.1.1.1.3

Cancel the common factor.

$5 \cdot - 1 \frac{- x}{5} = - 5 (y - 5)$

Step 5.1.1.1.4

Rewrite the expression.

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

Step 5.1.1.2

Multiply.

Tap for more steps...

Step 5.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 x = - 5 (y - 5)$

Step 5.1.1.2.2

Multiply $x$ by $1$ .

$x = - 5 (y - 5)$

Step 5.2

Simplify the right side.

Tap for more steps...

Step 5.2.1

Simplify $- 5 (y - 5)$ .

Tap for more steps...

Step 5.2.1.1

Apply the distributive property.

$x = - 5 y - 5 \cdot - 5$

Step 5.2.1.2

Multiply $- 5$ by $- 5$ .

$x = - 5 y + 25$