Finite Math Examples

$8 x + 24 y = 720$

Step 1

Subtract $24 y$ from both sides of the equation.

$8 x = 720 - 24 y$

Step 2

Divide each term in $8 x = 720 - 24 y$ by $8$ and simplify.

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Step 2.1

Divide each term in $8 x = 720 - 24 y$ by $8$ .

$\frac{8 x}{8} = \frac{720}{8} + \frac{- 24 y}{8}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $8$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{8 x}{8} = \frac{720}{8} + \frac{- 24 y}{8}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{720}{8} + \frac{- 24 y}{8}$

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 $720$ by $8$ .

$x = 90 + \frac{- 24 y}{8}$

Step 2.3.1.2

Cancel the common factor of $- 24$ and $8$ .

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Step 2.3.1.2.1

Factor $8$ out of $- 24 y$ .

$x = 90 + \frac{8 (- 3 y)}{8}$

Step 2.3.1.2.2

Cancel the common factors.

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Step 2.3.1.2.2.1

Factor $8$ out of $8$ .

$x = 90 + \frac{8 (- 3 y)}{8 (1)}$

Step 2.3.1.2.2.2

Cancel the common factor.

$x = 90 + \frac{8 (- 3 y)}{8 \cdot 1}$

Step 2.3.1.2.2.3

Rewrite the expression.

$x = 90 + \frac{- 3 y}{1}$

Step 2.3.1.2.2.4

Divide $- 3 y$ by $1$ .

$x = 90 - 3 y$