Pre-Algebra Examples

y = - x + \frac{5}{6}

$y = - x + \frac{5}{6}$

Step 1

The standard form of a linear equation is

A x + B y = C

$A x + B y = C$ .

Step 2

Multiply both sides by

6

$6$ .

6 y = 6 (- x + \frac{5}{6})

$6 y = 6 (- x + \frac{5}{6})$

Step 3

Simplify the right side.

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Step 3.1

Simplify

6 (- x + \frac{5}{6})

$6 (- x + \frac{5}{6})$ .

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Step 3.1.1

Apply the distributive property.

6 y = 6 (- x) + 6 (\frac{5}{6})

$6 y = 6 (- x) + 6 (\frac{5}{6})$

Step 3.1.2

Multiply

- 1

$- 1$ by

6

$6$ .

6 y = - 6 x + 6 (\frac{5}{6})

$6 y = - 6 x + 6 (\frac{5}{6})$

Step 3.1.3

Cancel the common factor of

6

$6$ .

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Step 3.1.3.1

Cancel the common factor.

$6 y = - 6 x + 6 (\frac{5}{6})$

Step 3.1.3.2

Rewrite the expression.

$6 y = - 6 x + 5$

Step 4

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

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Step 4.1

Add

$6 x$ to both sides of the equation.

$6 y + 6 x = 5$

Step 4.2

Reorder

$6 y$ and

$6 x$ .

$6 x + 6 y = 5$

Step 5