Trigonometry Examples

$P = 3 x + 5 y$

Step 1

Rewrite the equation as $3 x + 5 y = P$ .

$3 x + 5 y = P$

Step 2

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

$3 x = P - 5 y$

Step 3

Divide each term in $3 x = P - 5 y$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 x = P - 5 y$ by $3$ .

$\frac{3 x}{3} = \frac{P}{3} + \frac{- 5 y}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{P}{3} + \frac{- 5 y}{3}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{P}{3} + \frac{- 5 y}{3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$x = \frac{P}{3} - \frac{5 y}{3}$