Finite Math Examples

$8 x + 6 y = 336$

Step 1

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

$6 y = 336 - 8 x$

Step 2

Divide each term in $6 y = 336 - 8 x$ by $6$ and simplify.

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Step 2.1

Divide each term in $6 y = 336 - 8 x$ by $6$ .

$\frac{6 y}{6} = \frac{336}{6} + \frac{- 8 x}{6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6 y}{6} = \frac{336}{6} + \frac{- 8 x}{6}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{336}{6} + \frac{- 8 x}{6}$

$y = \frac{336}{6} + \frac{- 8 x}{6}$

$y = \frac{336}{6} + \frac{- 8 x}{6}$

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

Divide $336$ by $6$ .

$y = 56 + \frac{- 8 x}{6}$

Step 2.3.1.2

Cancel the common factor of $- 8$ and $6$ .

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Step 2.3.1.2.1

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

$y = 56 + \frac{2 (- 4 x)}{6}$

Step 2.3.1.2.2

Cancel the common factors.

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Step 2.3.1.2.2.1

Factor $2$ out of $6$ .

$y = 56 + \frac{2 (- 4 x)}{2 (3)}$

Step 2.3.1.2.2.2

Cancel the common factor.

$y = 56 + \frac{2 (- 4 x)}{2 \cdot 3}$

Step 2.3.1.2.2.3

Rewrite the expression.

$y = 56 + \frac{- 4 x}{3}$

$y = 56 + \frac{- 4 x}{3}$

$y = 56 + \frac{- 4 x}{3}$

Step 2.3.1.3

Move the negative in front of the fraction.

$y = 56 - \frac{4 x}{3}$

$y = 56 - \frac{4 x}{3}$

$y = 56 - \frac{4 x}{3}$

$y = 56 - \frac{4 x}{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$