Trigonometry Examples

$y = 0.75 x + 48.58$

Step 1

Rewrite the equation as $0.75 x + 48.58 = y$ .

$0.75 x + 48.58 = y$

Step 2

Subtract $48.58$ from both sides of the equation.

$0.75 x = y - 48.58$

Step 3

Divide each term in $0.75 x = y - 48.58$ by $0.75$ and simplify.

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Step 3.1

Divide each term in $0.75 x = y - 48.58$ by $0.75$ .

$\frac{0.75 x}{0.75} = \frac{y}{0.75} + \frac{- 48.58}{0.75}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $0.75$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{0.75 x}{0.75} = \frac{y}{0.75} + \frac{- 48.58}{0.75}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{y}{0.75} + \frac{- 48.58}{0.75}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Multiply by $1$ .

$x = \frac{1 y}{0.75} + \frac{- 48.58}{0.75}$

Step 3.3.1.2

Factor $0.75$ out of $0.75$ .

$x = \frac{1 y}{0.75 (1)} + \frac{- 48.58}{0.75}$

Step 3.3.1.3

Separate fractions.

$x = \frac{1}{0.75} \cdot \frac{y}{1} + \frac{- 48.58}{0.75}$

Step 3.3.1.4

Divide $1$ by $0.75$ .

$x = 1.\overline{3} \frac{y}{1} + \frac{- 48.58}{0.75}$

Step 3.3.1.5

Divide $y$ by $1$ .

$x = 1.\overline{3} y + \frac{- 48.58}{0.75}$

Step 3.3.1.6

Divide $- 48.58$ by $0.75$ .

$x = 1.\overline{3} y - 64.77\overline{3}$