Finite Math Examples

$x (y) = 16 - 1.25 y$

Step 1

Solve for $y$ .

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Step 1.1

Rewrite the equation as $16 - 1.25 y = x$ .

$16 - 1.25 y = x$

Step 1.2

Subtract $16$ from both sides of the equation.

$- 1.25 y = x - 16$

Step 1.3

Divide each term in $- 1.25 y = x - 16$ by $- 1.25$ and simplify.

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Step 1.3.1

Divide each term in $- 1.25 y = x - 16$ by $- 1.25$ .

$\frac{- 1.25 y}{- 1.25} = \frac{x}{- 1.25} + \frac{- 16}{- 1.25}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $- 1.25$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{- 1.25 y}{- 1.25} = \frac{x}{- 1.25} + \frac{- 16}{- 1.25}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{x}{- 1.25} + \frac{- 16}{- 1.25}$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Simplify each term.

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Step 1.3.3.1.1

Move the negative in front of the fraction.

$y = - \frac{x}{1.25} + \frac{- 16}{- 1.25}$

Step 1.3.3.1.2

Multiply by $1$ .

$y = - \frac{1 x}{1.25} + \frac{- 16}{- 1.25}$

Step 1.3.3.1.3

Factor $1.25$ out of $1.25$ .

$y = - \frac{1 x}{1.25 (1)} + \frac{- 16}{- 1.25}$

Step 1.3.3.1.4

Separate fractions.

$y = - (\frac{1}{1.25} \cdot \frac{x}{1}) + \frac{- 16}{- 1.25}$

Step 1.3.3.1.5

Divide $1$ by $1.25$ .

$y = - (0.8 \frac{x}{1}) + \frac{- 16}{- 1.25}$

Step 1.3.3.1.6

Divide $x$ by $1$ .

$y = - (0.8 x) + \frac{- 16}{- 1.25}$

Step 1.3.3.1.7

Multiply $0.8$ by $- 1$ .

$y = - 0.8 x + \frac{- 16}{- 1.25}$

Step 1.3.3.1.8

Divide $- 16$ by $- 1.25$ .

$y = - 0.8 x + 12.8$

Step 2

Set $16 - 1.25 y$ equal to $0$ .

$- 0.8 x + 12.8 = 0$

Step 3

Solve for $x$ .

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Step 3.1

Subtract $12.8$ from both sides of the equation.

$- 0.8 x = - 12.8$

Step 3.2

Divide each term in $- 0.8 x = - 12.8$ by $- 0.8$ and simplify.

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Step 3.2.1

Divide each term in $- 0.8 x = - 12.8$ by $- 0.8$ .

$\frac{- 0.8 x}{- 0.8} = \frac{- 12.8}{- 0.8}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $- 0.8$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{- 0.8 x}{- 0.8} = \frac{- 12.8}{- 0.8}$

Step 3.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 12.8}{- 0.8}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $- 12.8$ by $- 0.8$ .

$x = 16$

Step 4