Linear Algebra Examples

$75 (10) = 25 (x)$

Step 1

Rewrite the equation as $25 x = 75 (10)$ .

$25 x = 75 (10)$

Step 2

Multiply $75$ by $10$ .

$25 x = 750$

Step 3

Divide each term in $25 x = 750$ by $25$ and simplify.

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Step 3.1

Divide each term in $25 x = 750$ by $25$ .

$\frac{25 x}{25} = \frac{750}{25}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $25$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{25 x}{25} = \frac{750}{25}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{750}{25}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $750$ by $25$ .

$x = 30$

Step 4

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

${x | x = 30}$

Step 5