Finite Math Examples

$- 5 x - 3 y = 2$

Step 1

Solve for $y$ .

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Step 1.1

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

$- 3 y = 2 + 5 x$

Step 1.2

Divide each term in $- 3 y = 2 + 5 x$ by $- 3$ and simplify.

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Step 1.2.1

Divide each term in $- 3 y = 2 + 5 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{2}{- 3} + \frac{5 x}{- 3}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $- 3$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{2}{- 3} + \frac{5 x}{- 3}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{2}{- 3} + \frac{5 x}{- 3}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Simplify each term.

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Step 1.2.3.1.1

Move the negative in front of the fraction.

$y = - \frac{2}{3} + \frac{5 x}{- 3}$

Step 1.2.3.1.2

Move the negative in front of the fraction.

$y = - \frac{2}{3} - \frac{5 x}{3}$

Step 2

Factor $- 1$ out of $- \frac{2}{3} - \frac{5 x}{3}$ .

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Step 2.1

Reorder $- \frac{2}{3}$ and $- \frac{5 x}{3}$ .

$y = - \frac{5 x}{3} - \frac{2}{3}$

Step 2.2

Factor $- 1$ out of $- \frac{5 x}{3}$ .

$y = - (\frac{5 x}{3}) - \frac{2}{3}$

Step 2.3

Factor $- 1$ out of $- \frac{2}{3}$ .

$y = - (\frac{5 x}{3}) - (\frac{2}{3})$

Step 2.4

Factor $- 1$ out of $- (\frac{5 x}{3}) - (\frac{2}{3})$ .

$y = - (\frac{5 x}{3} + \frac{2}{3})$