Pre-Algebra Examples

$\frac{x}{4} + \frac{y}{4} = 1$

Step 1

Subtract $\frac{x}{4}$ from both sides of the equation.

$\frac{y}{4} = 1 - \frac{x}{4}$

Step 2

Multiply both sides of the equation by $4$ .

$4 \frac{y}{4} = 4 (1 - \frac{x}{4})$

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 $4$ .

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Step 3.1.1.1

Cancel the common factor.

$4 \frac{y}{4} = 4 (1 - \frac{x}{4})$

Step 3.1.1.2

Rewrite the expression.

$y = 4 (1 - \frac{x}{4})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $4 (1 - \frac{x}{4})$ .

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Step 3.2.1.1

Apply the distributive property.

$y = 4 \cdot 1 + 4 (- \frac{x}{4})$

Step 3.2.1.2

Multiply $4$ by $1$ .

$y = 4 + 4 (- \frac{x}{4})$

Step 3.2.1.3

Cancel the common factor of $4$ .

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Step 3.2.1.3.1

Move the leading negative in $- \frac{x}{4}$ into the numerator.

$y = 4 + 4 \frac{- x}{4}$

Step 3.2.1.3.2

Cancel the common factor.

$y = 4 + 4 \frac{- x}{4}$

Step 3.2.1.3.3

Rewrite the expression.

$y = 4 - x$

Step 4

Reorder $4$ and $- x$ .

$y = - x + 4$

Step 5

The given equation $y = - x + 4$ can not be written as $y = k x^{2}$ , so $y$ doesn't vary directly with $x^{2}$ .

$y$ doesn't vary directly with $x$