Linear Algebra Examples

50 = 2 w + 1

$50 = 2 w + 1$

Step 1

Rewrite the equation as

2 w + 1 = 50

$2 w + 1 = 50$ .

2 w + 1 = 50

$2 w + 1 = 50$

Step 2

Move all terms not containing

w

$w$ to the right side of the equation.

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Step 2.1

Subtract

1

$1$ from both sides of the equation.

2 w = 50 - 1

$2 w = 50 - 1$

Step 2.2

Subtract

1

$1$ from

50

$50$ .

2 w = 49

$2 w = 49$

2 w = 49

$2 w = 49$

Step 3

Divide each term in

2 w = 49

$2 w = 49$ by

2

$2$ and simplify.

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Step 3.1

Divide each term in

2 w = 49

$2 w = 49$ by

2

$2$ .

\frac{2 w}{2} = \frac{49}{2}

$\frac{2 w}{2} = \frac{49}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

2

$2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 w}{2} = \frac{49}{2}$

Step 3.2.1.2

Divide

$w$ by

$1$ .

$w = \frac{49}{2}$

$w = \frac{49}{2}$

$w = \frac{49}{2}$

$w = \frac{49}{2}$

Step 4

The domain is the set of all valid

$w$ values.

${w | w = \frac{49}{2}}$

Step 5

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