Pre-Algebra Examples

$y - 118 = - \frac{118}{71} \cdot (x - 0)$

Step 1

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

Step 2

Multiply both sides by $71$ .

$71 (y - 118) = 71 (- \frac{118}{71} \cdot (x - 0))$

Step 3

Simplify the left side.

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Step 3.1

Simplify $71 (y - 118)$ .

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Step 3.1.1

Apply the distributive property.

$71 y + 71 \cdot - 118 = 71 (- \frac{118}{71} \cdot (x - 0))$

Step 3.1.2

Multiply $71$ by $- 118$ .

$71 y - 8378 = 71 (- \frac{118}{71} \cdot (x - 0))$

Step 4

Simplify the right side.

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Step 4.1

Simplify $71 (- \frac{118}{71} \cdot (x - 0))$ .

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Step 4.1.1

Subtract $0$ from $x$ .

$71 y - 8378 = 71 (- \frac{118}{71} \cdot x)$

Step 4.1.2

Combine $x$ and $\frac{118}{71}$ .

$71 y - 8378 = 71 (- \frac{x \cdot 118}{71})$

Step 4.1.3

Cancel the common factor of $71$ .

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Step 4.1.3.1

Move the leading negative in $- \frac{x \cdot 118}{71}$ into the numerator.

$71 y - 8378 = 71 \frac{- x \cdot 118}{71}$

Step 4.1.3.2

Cancel the common factor.

$71 y - 8378 = 71 \frac{- x \cdot 118}{71}$

Step 4.1.3.3

Rewrite the expression.

$71 y - 8378 = - x \cdot 118$

Step 4.1.4

Multiply $118$ by $- 1$ .

$71 y - 8378 = - 118 x$

Step 5

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

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Step 5.1

Add $118 x$ to both sides of the equation.

$71 y - 8378 + 118 x = 0$

Step 5.2

Move $- 8378$ .

$71 y + 118 x - 8378 = 0$

Step 5.3

Reorder $71 y$ and $118 x$ .

$118 x + 71 y - 8378 = 0$

Step 6

Add $8378$ to both sides of the equation.

$118 x + 71 y = 8378$

Step 7