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

Respuesta :

we have the equations

[tex]\begin{gathered} y=-2(5)^x \\ y=18 \end{gathered}[/tex]

Solve the system of equations

Equate both equations

[tex]-2(5)^x=18[/tex]

Solve for x

[tex]\begin{gathered} (5)^x=-\frac{18}{2} \\ 5^x=-9 \end{gathered}[/tex]

The system has no solution

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