Evaluate the Function y=-4(5)^x for x=2

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

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

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

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

$x = 2$

Simplify the right side.

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

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

$y = - 4 \cdot 25$

$x = 2$

Multiply $- 4$ by $25$ .

$y = - 100$

$x = 2$

$y = - 100$

$x = 2$

$y = - 100$

$x = 2$

$y = - 100$

$x = 2$

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

$(2, - 100)$

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