Trigonometry Examples

$9 x + 6 y = 1$

Step 1

Subtract $6 y$ from both sides of the equation.

$9 x = 1 - 6 y$

Step 2

Divide each term in $9 x = 1 - 6 y$ by $9$ and simplify.

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Step 2.1

Divide each term in $9 x = 1 - 6 y$ by $9$ .

$\frac{9 x}{9} = \frac{1}{9} + \frac{- 6 y}{9}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $9$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{9 x}{9} = \frac{1}{9} + \frac{- 6 y}{9}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{1}{9} + \frac{- 6 y}{9}$

$x = \frac{1}{9} + \frac{- 6 y}{9}$

$x = \frac{1}{9} + \frac{- 6 y}{9}$

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

Cancel the common factor of $- 6$ and $9$ .

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Step 2.3.1.1.1

Factor $3$ out of $- 6 y$ .

$x = \frac{1}{9} + \frac{3 (- 2 y)}{9}$

Step 2.3.1.1.2

Cancel the common factors.

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Step 2.3.1.1.2.1

Factor $3$ out of $9$ .

$x = \frac{1}{9} + \frac{3 (- 2 y)}{3 (3)}$

Step 2.3.1.1.2.2

Cancel the common factor.

$x = \frac{1}{9} + \frac{3 (- 2 y)}{3 \cdot 3}$

Step 2.3.1.1.2.3

Rewrite the expression.

$x = \frac{1}{9} + \frac{- 2 y}{3}$

$x = \frac{1}{9} + \frac{- 2 y}{3}$

$x = \frac{1}{9} + \frac{- 2 y}{3}$

Step 2.3.1.2

Move the negative in front of the fraction.

$x = \frac{1}{9} - \frac{2 y}{3}$

$x = \frac{1}{9} - \frac{2 y}{3}$

$x = \frac{1}{9} - \frac{2 y}{3}$

$x = \frac{1}{9} - \frac{2 y}{3}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$