Finite Math Examples

x^{2} + y \cdot z = 1

$x^{2} + y \cdot z = 1$ ,

y \cdot (x + w) = 0

$y \cdot (x + w) = 0$ ,

z \cdot (x + w) = 0

$z \cdot (x + w) = 0$ ,

y \cdot z + w^{2} = 1

$y \cdot z + w^{2} = 1$ ,

y = 0

$y = 0$ ,

z = 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}

$y = k x z^{2}$ , where

k

$k$ is the constant of variation.

y = k x z^{2}

$y = k x z^{2}$

Step 2

Solve the equation for

k

$k$ , the constant of variation.

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

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

Step 3

Replace the variables

x

$x$ ,

y

$y$ , and

z

$z$ with the actual values.

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

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

Step 4

Multiply

{(0)}^{2}

${(0)}^{2}$ by

1

$1$ .

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

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

Step 5

Raising

0

$0$ to any positive power yields

0

$0$ .

k = \frac{0}{0}

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

Step 6

The expression contains a division by

0

$0$ . The expression is undefined.

Undefined

Step 7

Write the equation of variation such that

y = k x z^{2}

$y = k x z^{2}$ , replacing

k

$k$ with the

Undefined

$Undefined$ .

Undefined