Finite Math Examples

$x = \frac{7}{8} y - 1$

Step 1

Rewrite the equation as $\frac{7}{8} y - 1 = x$ .

$\frac{7}{8} y - 1 = x$

Step 2

Combine $\frac{7}{8}$ and $y$ .

$\frac{7 y}{8} - 1 = x$

Step 3

Add $1$ to both sides of the equation.

$\frac{7 y}{8} = x + 1$

Step 4

Multiply both sides of the equation by $\frac{8}{7}$ .

$\frac{8}{7} \cdot \frac{7 y}{8} = \frac{8}{7} (x + 1)$

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

Simplify $\frac{8}{7} \cdot \frac{7 y}{8}$ .

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Step 5.1.1.1

Cancel the common factor of $8$ .

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Step 5.1.1.1.1

Cancel the common factor.

$\frac{8}{7} \cdot \frac{7 y}{8} = \frac{8}{7} (x + 1)$

Step 5.1.1.1.2

Rewrite the expression.

$\frac{1}{7} (7 y) = \frac{8}{7} (x + 1)$

Step 5.1.1.2

Cancel the common factor of $7$ .

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Step 5.1.1.2.1

Factor $7$ out of $7 y$ .

$\frac{1}{7} (7 (y)) = \frac{8}{7} (x + 1)$

Step 5.1.1.2.2

Cancel the common factor.

$\frac{1}{7} (7 y) = \frac{8}{7} (x + 1)$

Step 5.1.1.2.3

Rewrite the expression.

$y = \frac{8}{7} (x + 1)$

Step 5.2

Simplify the right side.

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Step 5.2.1

Simplify $\frac{8}{7} (x + 1)$ .

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Step 5.2.1.1

Apply the distributive property.

$y = \frac{8}{7} x + \frac{8}{7} \cdot 1$

Step 5.2.1.2

Combine $\frac{8}{7}$ and $x$ .

$y = \frac{8 x}{7} + \frac{8}{7} \cdot 1$

Step 5.2.1.3

Multiply $\frac{8}{7}$ by $1$ .

$y = \frac{8 x}{7} + \frac{8}{7}$