Linear Algebra Examples

- 4 = 5 n + 6

$- 4 = 5 n + 6$

Step 1

Rewrite the equation as

5 n + 6 = - 4

$5 n + 6 = - 4$ .

5 n + 6 = - 4

$5 n + 6 = - 4$

Step 2

Move all terms not containing

n

$n$ to the right side of the equation.

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Step 2.1

Subtract

6

$6$ from both sides of the equation.

5 n = - 4 - 6

$5 n = - 4 - 6$

Step 2.2

Subtract

6

$6$ from

- 4

$- 4$ .

5 n = - 10

$5 n = - 10$

5 n = - 10

$5 n = - 10$

Step 3

Divide each term in

5 n = - 10

$5 n = - 10$ by

5

$5$ and simplify.

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Step 3.1

Divide each term in

5 n = - 10

$5 n = - 10$ by

5

$5$ .

\frac{5 n}{5} = \frac{- 10}{5}

$\frac{5 n}{5} = \frac{- 10}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

5

$5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 n}{5} = \frac{- 10}{5}$

Step 3.2.1.2

Divide

$n$ by

$1$ .

$n = \frac{- 10}{5}$

$n = \frac{- 10}{5}$

$n = \frac{- 10}{5}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$- 10$ by

$5$ .

$n = - 2$

$n = - 2$

$n = - 2$

Step 4

The domain is the set of all valid

$n$ values.

${n | n = - 2}$

Step 5

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