Finite Math Examples

$y = - \frac{1}{2} x - 8$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Multiply both sides by $2$ .

$2 y = 2 (- \frac{1}{2} x - 8)$

Step 3

Simplify the right side.

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Step 3.1

Simplify $2 (- \frac{1}{2} x - 8)$ .

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Step 3.1.1

Combine $x$ and $\frac{1}{2}$ .

$2 y = 2 (- \frac{x}{2} - 8)$

Step 3.1.2

Apply the distributive property.

$2 y = 2 (- \frac{x}{2}) + 2 \cdot - 8$

Step 3.1.3

Cancel the common factor of $2$ .

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Step 3.1.3.1

Move the leading negative in $- \frac{x}{2}$ into the numerator.

$2 y = 2 \frac{- x}{2} + 2 \cdot - 8$

Step 3.1.3.2

Cancel the common factor.

$2 y = 2 \frac{- x}{2} + 2 \cdot - 8$

Step 3.1.3.3

Rewrite the expression.

$2 y = - x + 2 \cdot - 8$

Step 3.1.4

Multiply $2$ by $- 8$ .

$2 y = - x - 16$

Step 4

Move all terms containing variables to the left side of the equation.

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Step 4.1

Add $x$ to both sides of the equation.

$2 y + x = - 16$

Step 4.2

Reorder $2 y$ and $x$ .

$x + 2 y = - 16$

Step 5