Calculus Examples

$- 3 x - 4 y = - 2$

Step 1

Add $4 y$ to both sides of the equation.

$- 3 x = - 2 + 4 y$

Step 2

Divide each term in $- 3 x = - 2 + 4 y$ by $- 3$ and simplify.

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Step 2.1

Divide each term in $- 3 x = - 2 + 4 y$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{- 2}{- 3} + \frac{4 y}{- 3}$

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.

$\frac{- 3 x}{- 3} = \frac{- 2}{- 3} + \frac{4 y}{- 3}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 2}{- 3} + \frac{4 y}{- 3}$

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

Dividing two negative values results in a positive value.

$x = \frac{2}{3} + \frac{4 y}{- 3}$

Step 2.3.1.2

Move the negative in front of the fraction.

$x = \frac{2}{3} - \frac{4 y}{3}$