Finite Math Examples

$\frac{1}{4} y = 12 - 4 x$

Step 1

Solve the equation for $y$ .

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Step 1.1

Multiply both sides of the equation by $4$ .

$4 (\frac{1}{4} y) = 4 (12 - 4 x)$

Step 1.2

Simplify both sides of the equation.

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Step 1.2.1

Simplify the left side.

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Step 1.2.1.1

Simplify $4 (\frac{1}{4} y)$ .

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Step 1.2.1.1.1

Combine $\frac{1}{4}$ and $y$ .

$4 \frac{y}{4} = 4 (12 - 4 x)$

Step 1.2.1.1.2

Cancel the common factor of $4$ .

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Step 1.2.1.1.2.1

Cancel the common factor.

$4 \frac{y}{4} = 4 (12 - 4 x)$

Step 1.2.1.1.2.2

Rewrite the expression.

$y = 4 (12 - 4 x)$

Step 1.2.2

Simplify the right side.

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Step 1.2.2.1

Simplify $4 (12 - 4 x)$ .

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Step 1.2.2.1.1

Apply the distributive property.

$y = 4 \cdot 12 + 4 (- 4 x)$

Step 1.2.2.1.2

Multiply.

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Step 1.2.2.1.2.1

Multiply $4$ by $12$ .

$y = 48 + 4 (- 4 x)$

Step 1.2.2.1.2.2

Multiply $- 4$ by $4$ .

$y = 48 - 16 x$

Step 1.3

Reorder $48$ and $- 16 x$ .

$y = - 16 x + 48$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $y$ is $1$ and the degree of variable $x$ is $1$ .

Linear