Finite Math Examples

$y = \frac{1}{5} x - 7$

Step 1

Rewrite the equation as $\frac{1}{5} x - 7 = y$ .

$\frac{1}{5} x - 7 = y$

Step 2

Combine $\frac{1}{5}$ and $x$ .

$\frac{x}{5} - 7 = y$

Step 3

Add $7$ to both sides of the equation.

$\frac{x}{5} = y + 7$

Step 4

Multiply both sides of the equation by $5$ .

$5 \frac{x}{5} = 5 (y + 7)$

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 $5$ .

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Step 5.1.1.1

Cancel the common factor.

$5 \frac{x}{5} = 5 (y + 7)$

Step 5.1.1.2

Rewrite the expression.

$x = 5 (y + 7)$

$x = 5 (y + 7)$

$x = 5 (y + 7)$

Step 5.2

Simplify the right side.

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Step 5.2.1

Simplify $5 (y + 7)$ .

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Step 5.2.1.1

Apply the distributive property.

$x = 5 y + 5 \cdot 7$

Step 5.2.1.2

Multiply $5$ by $7$ .

$x = 5 y + 35$

$x = 5 y + 35$

$x = 5 y + 35$

$x = 5 y + 35$

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