Finite Math Examples

$8 x - 2 y - 10 = 0$

Step 1

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

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Step 1.1

Subtract $8 x$ from both sides of the equation.

$- 2 y - 10 = - 8 x$

Step 1.2

Add $10$ to both sides of the equation.

$- 2 y = - 8 x + 10$

Step 2

Divide each term in $- 2 y = - 8 x + 10$ by $- 2$ and simplify.

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Step 2.1

Divide each term in $- 2 y = - 8 x + 10$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 8 x}{- 2} + \frac{10}{- 2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 8 x}{- 2} + \frac{10}{- 2}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 8 x}{- 2} + \frac{10}{- 2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Cancel the common factor of $- 8$ and $- 2$ .

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Step 2.3.1.1.1

Factor $- 2$ out of $- 8 x$ .

$y = \frac{- 2 (4 x)}{- 2} + \frac{10}{- 2}$

Step 2.3.1.1.2

Cancel the common factors.

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Step 2.3.1.1.2.1

Factor $- 2$ out of $- 2$ .

$y = \frac{- 2 (4 x)}{- 2 (1)} + \frac{10}{- 2}$

Step 2.3.1.1.2.2

Cancel the common factor.

$y = \frac{- 2 (4 x)}{- 2 \cdot 1} + \frac{10}{- 2}$

Step 2.3.1.1.2.3

Rewrite the expression.

$y = \frac{4 x}{1} + \frac{10}{- 2}$

Step 2.3.1.1.2.4

Divide $4 x$ by $1$ .

$y = 4 x + \frac{10}{- 2}$

Step 2.3.1.2

Divide $10$ by $- 2$ .

$y = 4 x - 5$