Linear Algebra Examples

$50 = 2 w + 1$

Step 1

Rewrite the equation as $2 w + 1 = 50$ .

$2 w + 1 = 50$

Step 2

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

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Step 2.1

Subtract $1$ from both sides of the equation.

$2 w = 50 - 1$

Step 2.2

Subtract $1$ from $50$ .

$2 w = 49$

Step 3

Divide each term in $2 w = 49$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 w = 49$ by $2$ .

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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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 $1$ .

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

Step 4

The domain is the set of all valid $w$ values.

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

Step 5