Finite Math Examples

$\frac{s y}{s t} = e^{1 - 9 t}$

Step 1

Cancel the common factor of $s$ .

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Step 1.1

Cancel the common factor.

$\frac{s y}{s t} = e^{1 - 9 t}$

Step 1.2

Rewrite the expression.

$\frac{y}{t} = e^{1 - 9 t}$

$\frac{y}{t} = e^{1 - 9 t}$

Step 2

Multiply both sides by $t$ .

$\frac{y}{t} t = e^{1 - 9 t} t$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $t$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{y}{t} t = e^{1 - 9 t} t$

Step 3.1.1.2

Rewrite the expression.

$y = e^{1 - 9 t} t$

$y = e^{1 - 9 t} t$

$y = e^{1 - 9 t} t$

Step 3.2

Simplify the right side.

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Step 3.2.1

Reorder factors in $e^{1 - 9 t} t$ .

$y = t e^{1 - 9 t}$

$y = t e^{1 - 9 t}$

$y = t e^{1 - 9 t}$

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