Finite Math Examples

$- 2 x + 3 y = 1$

Step 1

Subtract $3 y$ from both sides of the equation.

$- 2 x = 1 - 3 y$

Step 2

Divide each term in $- 2 x = 1 - 3 y$ by $- 2$ and simplify.

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Step 2.1

Divide each term in $- 2 x = 1 - 3 y$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{1}{- 2} + \frac{- 3 y}{- 2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{1}{- 2} + \frac{- 3 y}{- 2}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{1}{- 2} + \frac{- 3 y}{- 2}$

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.

$x = - \frac{1}{2} + \frac{- 3 y}{- 2}$

Step 2.3.1.2

Dividing two negative values results in a positive value.

$x = - \frac{1}{2} + \frac{3 y}{2}$