Finite Math Examples

$y = 36 + 0.6 x$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Change $0.6$ into a fraction.

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Step 2.1

Multiply by $\frac{100}{100}$ to remove the decimal.

$y = 36 + \frac{100 \cdot 0.6}{100} x$

Step 2.2

Multiply $100$ by $0.6$ .

$y = 36 + \frac{60}{100} x$

Step 2.3

Cancel the common factor of $60$ and $100$ .

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Step 2.3.1

Factor $20$ out of $60$ .

$y = 36 + \frac{20 (3)}{100} x$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $20$ out of $100$ .

$y = 36 + \frac{20 \cdot 3}{20 \cdot 5} x$

Step 2.3.2.2

Cancel the common factor.

$y = 36 + \frac{20 \cdot 3}{20 \cdot 5} x$

Step 2.3.2.3

Rewrite the expression.

$y = 36 + \frac{3}{5} x$

Step 3

Multiply both sides by $5$ .

$5 y = 5 (36 + \frac{3}{5} x)$

Step 4

Simplify the right side.

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Step 4.1

Simplify $5 (36 + \frac{3}{5} x)$ .

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Step 4.1.1

Combine $\frac{3}{5}$ and $x$ .

$5 y = 5 (36 + \frac{3 x}{5})$

Step 4.1.2

Apply the distributive property.

$5 y = 5 \cdot 36 + 5 \frac{3 x}{5}$

Step 4.1.3

Multiply $5$ by $36$ .

$5 y = 180 + 5 \frac{3 x}{5}$

Step 4.1.4

Cancel the common factor of $5$ .

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Step 4.1.4.1

Cancel the common factor.

$5 y = 180 + 5 \frac{3 x}{5}$

Step 4.1.4.2

Rewrite the expression.

$5 y = 180 + 3 x$

Step 5

Rewrite the equation.

$180 + 3 x = 5 y$

Step 6

Move all terms containing variables to the left side of the equation.

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Step 6.1

Subtract $5 y$ from both sides of the equation.

$180 + 3 x - 5 y = 0$

Step 6.2

Move $180$ .

$3 x - 5 y + 180 = 0$

Step 7

Subtract $180$ from both sides of the equation.

$3 x - 5 y = - 180$

Step 8