Finite Math Examples

$0.06 x + 0.14 y + 0.28 (100) = 0.11 (1700)$

Step 1

Multiply $0.28$ by $100$ .

$0.06 x + 0.14 y + 28 = 0.11 (1700)$

Step 2

Multiply $0.11$ by $1700$ .

$0.06 x + 0.14 y + 28 = 187$

Step 3

Move all terms not containing $y$ to the right side of the equation.

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Step 3.1

Subtract $0.06 x$ from both sides of the equation.

$0.14 y + 28 = 187 - 0.06 x$

Step 3.2

Subtract $28$ from both sides of the equation.

$0.14 y = 187 - 0.06 x - 28$

Step 3.3

Subtract $28$ from $187$ .

$0.14 y = - 0.06 x + 159$

Step 4

Divide each term in $0.14 y = - 0.06 x + 159$ by $0.14$ and simplify.

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Step 4.1

Divide each term in $0.14 y = - 0.06 x + 159$ by $0.14$ .

$\frac{0.14 y}{0.14} = \frac{- 0.06 x}{0.14} + \frac{159}{0.14}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $0.14$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{0.14 y}{0.14} = \frac{- 0.06 x}{0.14} + \frac{159}{0.14}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 0.06 x}{0.14} + \frac{159}{0.14}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Simplify each term.

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Step 4.3.1.1

Move the negative in front of the fraction.

$y = - \frac{0.06 x}{0.14} + \frac{159}{0.14}$

Step 4.3.1.2

Factor $0.06$ out of $0.06 x$ .

$y = - \frac{0.06 (x)}{0.14} + \frac{159}{0.14}$

Step 4.3.1.3

Factor $0.14$ out of $0.14$ .

$y = - \frac{0.06 (x)}{0.14 (1)} + \frac{159}{0.14}$

Step 4.3.1.4

Separate fractions.

$y = - (\frac{0.06}{0.14} \cdot \frac{x}{1}) + \frac{159}{0.14}$

Step 4.3.1.5

Divide $0.06$ by $0.14$ .

$y = - (0.\overline{428571} \frac{x}{1}) + \frac{159}{0.14}$

Step 4.3.1.6

Divide $x$ by $1$ .

$y = - (0.\overline{428571} x) + \frac{159}{0.14}$

Step 4.3.1.7

Multiply $0.\overline{428571}$ by $- 1$ .

$y = - 0.\overline{428571} x + \frac{159}{0.14}$

Step 4.3.1.8

Divide $159$ by $0.14$ .

$y = - 0.\overline{428571} x + 1135.\overline{714285}$