Question

y = (-2)5Xy=18The X next to the 5 should be superscript (sorry don't know how to type it)Solve the equations and check for extraneous solutions

Answer 1

we have the equations

$\begin{gathered} y=-2(5)^x \\ y=18 \end{gathered}$

Solve the system of equations

Equate both equations

$-2(5)^x=18$

Solve for x

$\begin{gathered} (5)^x=-\frac{18}{2} \\ 5^x=-9 \end{gathered}$

The system has no solution

The number 5 elevated to any number x cannot be a negative number