Finite Math Examples

$x^{2} + y \cdot z = 1$ , $y \cdot (x + w) = 0$ , $z \cdot (x + w) = 0$ , $y \cdot z + w^{2} = 1$ , $y = 0$ , $z = 0$

Step 1

When three variable quantities have a constant ratio, their relationship is called a direct variation. It is said that one variable varies directly as the other two vary. The formula for direct variation is $y = k x z^{2}$ , where $k$ is the constant of variation.

$y = k x z^{2}$

Step 2

Solve the equation for $k$ , the constant of variation.

$k = \frac{y}{x z^{2}}$

Step 3

Replace the variables $x$ , $y$ , and $z$ with the actual values.

$k = \frac{0}{(1) \cdot {(0)}^{2}}$

Step 4

Multiply ${(0)}^{2}$ by $1$ .

$k = \frac{0}{{(0)}^{2}}$

Step 5

Raising $0$ to any positive power yields $0$ .

$k = \frac{0}{0}$

Step 6

The expression contains a division by $0$ . The expression is undefined.

Undefined

Step 7

Write the equation of variation such that $y = k x z^{2}$ , replacing $k$ with the $Undefined$ .

Undefined