Algebra Examples

$y = - 4 {(5)}^{x}$ for $x = 2$

Step 1

Replace all occurrences of $x$ with $2$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $y = - 4 \cdot 5^{x}$ with $2$ .

$y = - 4 \cdot 5^{2}$

$x = 2$

Step 1.2

Simplify the right side.

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Step 1.2.1

Simplify $- 4 \cdot 5^{2}$ .

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Step 1.2.1.1

Raise $5$ to the power of $2$ .

$y = - 4 \cdot 25$

$x = 2$

Step 1.2.1.2

Multiply $- 4$ by $25$ .

$y = - 100$

$x = 2$

$y = - 100$

$x = 2$

$y = - 100$

$x = 2$

$y = - 100$

$x = 2$

Step 2

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(2, - 100)$

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