Trigonometry Examples

$- 2 x + 5 y = 12$

Step 1

Subtract $5 y$ from both sides of the equation.

$- 2 x = 12 - 5 y$

Step 2

Divide each term in $- 2 x = 12 - 5 y$ by $- 2$ and simplify.

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Step 2.1

Divide each term in $- 2 x = 12 - 5 y$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{12}{- 2} + \frac{- 5 y}{- 2}$

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.

$\frac{- 2 x}{- 2} = \frac{12}{- 2} + \frac{- 5 y}{- 2}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{12}{- 2} + \frac{- 5 y}{- 2}$

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

Divide $12$ by $- 2$ .

$x = - 6 + \frac{- 5 y}{- 2}$

Step 2.3.1.2

Dividing two negative values results in a positive value.

$x = - 6 + \frac{5 y}{2}$