Pre-Algebra Examples

$y = - \frac{227}{189} \cdot (x - 0)$

Step 1

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

Step 2

Multiply both sides by $189$ .

$189 y = 189 (- \frac{227}{189} \cdot (x - 0))$

Step 3

Simplify the right side.

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Step 3.1

Simplify $189 (- \frac{227}{189} \cdot (x - 0))$ .

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Step 3.1.1

Subtract $0$ from $x$ .

$189 y = 189 (- \frac{227}{189} \cdot x)$

Step 3.1.2

Combine $x$ and $\frac{227}{189}$ .

$189 y = 189 (- \frac{x \cdot 227}{189})$

Step 3.1.3

Cancel the common factor of $189$ .

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Step 3.1.3.1

Move the leading negative in $- \frac{x \cdot 227}{189}$ into the numerator.

$189 y = 189 \frac{- x \cdot 227}{189}$

Step 3.1.3.2

Cancel the common factor.

$189 y = 189 \frac{- x \cdot 227}{189}$

Step 3.1.3.3

Rewrite the expression.

$189 y = - x \cdot 227$

Step 3.1.4

Multiply $227$ by $- 1$ .

$189 y = - 227 x$

Step 4

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

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Step 4.1

Add $227 x$ to both sides of the equation.

$189 y + 227 x = 0$

Step 4.2

Reorder $189 y$ and $227 x$ .

$227 x + 189 y = 0$

Step 5