Finite Math Examples

$- 2 x - 3 y = 17$

Step 1

Add $2 x$ to both sides of the equation.

$- 3 y = 17 + 2 x$

Step 2

Divide each term in $- 3 y = 17 + 2 x$ by $- 3$ and simplify.

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Step 2.1

Divide each term in $- 3 y = 17 + 2 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{17}{- 3} + \frac{2 x}{- 3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 3$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{17}{- 3} + \frac{2 x}{- 3}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{17}{- 3} + \frac{2 x}{- 3}$

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.

$y = - \frac{17}{3} + \frac{2 x}{- 3}$

Step 2.3.1.2

Move the negative in front of the fraction.

$y = - \frac{17}{3} - \frac{2 x}{3}$