Finite Math Examples

$\frac{x}{9} + \frac{y}{3} = 1$

Step 1

Subtract $\frac{x}{9}$ from both sides of the equation.

$\frac{y}{3} = 1 - \frac{x}{9}$

Step 2

Multiply both sides of the equation by $3$ .

$3 \frac{y}{3} = 3 (1 - \frac{x}{9})$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $3$ .

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Step 3.1.1.1

Cancel the common factor.

$3 \frac{y}{3} = 3 (1 - \frac{x}{9})$

Step 3.1.1.2

Rewrite the expression.

$y = 3 (1 - \frac{x}{9})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $3 (1 - \frac{x}{9})$ .

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Step 3.2.1.1

Apply the distributive property.

$y = 3 \cdot 1 + 3 (- \frac{x}{9})$

Step 3.2.1.2

Multiply $3$ by $1$ .

$y = 3 + 3 (- \frac{x}{9})$

Step 3.2.1.3

Cancel the common factor of $3$ .

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Step 3.2.1.3.1

Move the leading negative in $- \frac{x}{9}$ into the numerator.

$y = 3 + 3 \frac{- x}{9}$

Step 3.2.1.3.2

Factor $3$ out of $9$ .

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

Step 3.2.1.3.3

Cancel the common factor.

$y = 3 + 3 \frac{- x}{3 \cdot 3}$

Step 3.2.1.3.4

Rewrite the expression.

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

Step 3.2.1.4

Move the negative in front of the fraction.

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

Step 4

Reorder $3$ and $- \frac{x}{3}$ .

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