Trigonometry Examples

$6 x - 3 y = 4 a$

Step 1

Add $3 y$ to both sides of the equation.

$6 x = 4 a + 3 y$

Step 2

Divide each term in $6 x = 4 a + 3 y$ by $6$ and simplify.

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Step 2.1

Divide each term in $6 x = 4 a + 3 y$ by $6$ .

$\frac{6 x}{6} = \frac{4 a}{6} + \frac{3 y}{6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{4 a}{6} + \frac{3 y}{6}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{4 a}{6} + \frac{3 y}{6}$

$x = \frac{4 a}{6} + \frac{3 y}{6}$

$x = \frac{4 a}{6} + \frac{3 y}{6}$

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 $4$ and $6$ .

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Step 2.3.1.1.1

Factor $2$ out of $4 a$ .

$x = \frac{2 (2 a)}{6} + \frac{3 y}{6}$

Step 2.3.1.1.2

Cancel the common factors.

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Step 2.3.1.1.2.1

Factor $2$ out of $6$ .

$x = \frac{2 (2 a)}{2 (3)} + \frac{3 y}{6}$

Step 2.3.1.1.2.2

Cancel the common factor.

$x = \frac{2 (2 a)}{2 \cdot 3} + \frac{3 y}{6}$

Step 2.3.1.1.2.3

Rewrite the expression.

$x = \frac{2 a}{3} + \frac{3 y}{6}$

$x = \frac{2 a}{3} + \frac{3 y}{6}$

$x = \frac{2 a}{3} + \frac{3 y}{6}$

Step 2.3.1.2

Cancel the common factor of $3$ and $6$ .

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Step 2.3.1.2.1

Factor $3$ out of $3 y$ .

$x = \frac{2 a}{3} + \frac{3 (y)}{6}$

Step 2.3.1.2.2

Cancel the common factors.

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Step 2.3.1.2.2.1

Factor $3$ out of $6$ .

$x = \frac{2 a}{3} + \frac{3 y}{3 \cdot 2}$

Step 2.3.1.2.2.2

Cancel the common factor.

$x = \frac{2 a}{3} + \frac{3 y}{3 \cdot 2}$

Step 2.3.1.2.2.3

Rewrite the expression.

$x = \frac{2 a}{3} + \frac{y}{2}$

$x = \frac{2 a}{3} + \frac{y}{2}$

$x = \frac{2 a}{3} + \frac{y}{2}$

$x = \frac{2 a}{3} + \frac{y}{2}$

$x = \frac{2 a}{3} + \frac{y}{2}$

$x = \frac{2 a}{3} + \frac{y}{2}$

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