Finite Math Examples

$y = \frac{1}{3} x - 5$

Step 1

Rewrite the equation as $\frac{1}{3} x - 5 = y$ .

$\frac{1}{3} x - 5 = y$

Step 2

Combine $\frac{1}{3}$ and $x$ .

$\frac{x}{3} - 5 = y$

Step 3

Add $5$ to both sides of the equation.

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

Step 4

Multiply both sides of the equation by $3$ .

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

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Cancel the common factor of $3$ .

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Step 5.1.1.1

Cancel the common factor.

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

Step 5.1.1.2

Rewrite the expression.

$x = 3 (y + 5)$

$x = 3 (y + 5)$

$x = 3 (y + 5)$

Step 5.2

Simplify the right side.

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Step 5.2.1

Simplify $3 (y + 5)$ .

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Step 5.2.1.1

Apply the distributive property.

$x = 3 y + 3 \cdot 5$

Step 5.2.1.2

Multiply $3$ by $5$ .

$x = 3 y + 15$

$x = 3 y + 15$

$x = 3 y + 15$

$x = 3 y + 15$

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