Finite Math Examples

$x \cdot 1 + 5 x \cdot 2 = 13$

Step 1

Simplify $x \cdot 1 + 5 x \cdot 2$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Multiply $x$ by $1$ .

$x + 5 x \cdot 2 = 13$

Step 1.1.2

Multiply $2$ by $5$ .

$x + 10 x = 13$

$x + 10 x = 13$

Step 1.2

Add $x$ and $10 x$ .

$11 x = 13$

$11 x = 13$

Step 2

Divide each term in $11 x = 13$ by $11$ and simplify.

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Step 2.1

Divide each term in $11 x = 13$ by $11$ .

$\frac{11 x}{11} = \frac{13}{11}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $11$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{11 x}{11} = \frac{13}{11}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{13}{11}$

$x = \frac{13}{11}$

$x = \frac{13}{11}$

$x = \frac{13}{11}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \frac{13}{11}$

Decimal Form:

$x = 1.\overline{18}$

Mixed Number Form:

$x = 1 \frac{2}{11}$

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