Algebra Examples

$y = - \frac{3}{10} x - 8$

Step 1

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

Step 2

Multiply both sides by $10$ .

$10 y = 10 (- \frac{3}{10} x - 8)$

Step 3

Simplify the right side.

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Step 3.1

Simplify $10 (- \frac{3}{10} x - 8)$ .

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Step 3.1.1

Simplify each term.

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Step 3.1.1.1

Combine $x$ and $\frac{3}{10}$ .

$10 y = 10 (- \frac{x \cdot 3}{10} - 8)$

Step 3.1.1.2

Move $3$ to the left of $x$ .

$10 y = 10 (- \frac{3 x}{10} - 8)$

Step 3.1.2

Simplify terms.

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Step 3.1.2.1

Apply the distributive property.

$10 y = 10 (- \frac{3 x}{10}) + 10 \cdot - 8$

Step 3.1.2.2

Cancel the common factor of $10$ .

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Step 3.1.2.2.1

Move the leading negative in $- \frac{3 x}{10}$ into the numerator.

$10 y = 10 \frac{- 3 x}{10} + 10 \cdot - 8$

Step 3.1.2.2.2

Cancel the common factor.

$10 y = 10 \frac{- 3 x}{10} + 10 \cdot - 8$

Step 3.1.2.2.3

Rewrite the expression.

$10 y = - 3 x + 10 \cdot - 8$

Step 3.1.2.3

Multiply $10$ by $- 8$ .

$10 y = - 3 x - 80$

Step 4

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

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Step 4.1

Add $3 x$ to both sides of the equation.

$10 y + 3 x = - 80$

Step 4.2

Reorder $10 y$ and $3 x$ .

$3 x + 10 y = - 80$

Step 5