Pre-Algebra Examples

$- 5 x - 8 y = 17$

Step 1

Add $5 x$ to both sides of the equation.

$- 8 y = 17 + 5 x$

Step 2

Divide each term in $- 8 y = 17 + 5 x$ by $- 8$ and simplify.

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Step 2.1

Divide each term in $- 8 y = 17 + 5 x$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{17}{- 8} + \frac{5 x}{- 8}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 8$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{17}{- 8} + \frac{5 x}{- 8}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{17}{- 8} + \frac{5 x}{- 8}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Move the negative in front of the fraction.

$y = - \frac{17}{8} + \frac{5 x}{- 8}$

Step 2.3.1.2

Move the negative in front of the fraction.

$y = - \frac{17}{8} - \frac{5 x}{8}$