Trigonometry Examples

$2 u - 5 = - 11$ , $- 3 u = - 6$

Step 1

Solve for $u$ in $2 u - 5 = - 11$ .

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Step 1.1

Move all terms not containing $u$ to the right side of the equation.

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Step 1.1.1

Add $5$ to both sides of the equation.

$2 u = - 11 + 5$

$- 3 u = - 6$

Step 1.1.2

Add $- 11$ and $5$ .

$2 u = - 6$

$- 3 u = - 6$

$2 u = - 6$

$- 3 u = - 6$

Step 1.2

Divide each term in $2 u = - 6$ by $2$ and simplify.

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Step 1.2.1

Divide each term in $2 u = - 6$ by $2$ .

$\frac{2 u}{2} = \frac{- 6}{2}$

$- 3 u = - 6$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $2$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{2 u}{2} = \frac{- 6}{2}$

$- 3 u = - 6$

Step 1.2.2.1.2

Divide $u$ by $1$ .

$u = \frac{- 6}{2}$

$- 3 u = - 6$

$u = \frac{- 6}{2}$

$- 3 u = - 6$

$u = \frac{- 6}{2}$

$- 3 u = - 6$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Divide $- 6$ by $2$ .

$u = - 3$

$- 3 u = - 6$

$u = - 3$

$- 3 u = - 6$

$u = - 3$

$- 3 u = - 6$

$u = - 3$

$- 3 u = - 6$

Step 2

Replace all occurrences of $u$ with $- 3$ in each equation.

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Step 2.1

Replace all occurrences of $u$ in $- 3 u = - 6$ with $- 3$ .

$- 3 \cdot - 3 = - 6$

$u = - 3$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply $- 3$ by $- 3$ .

$9 = - 6$

$u = - 3$

$9 = - 6$

$u = - 3$

$9 = - 6$

$u = - 3$

Step 3

Since $9 = - 6$ is not true, there is no solution.

No solution