Answer
\[x=-65\]
Work Step by Step
Consider the equation
\[\frac{-7}{5}=\frac{91}{x}\]
The LCM is\[5x\] so multiply both the sides by \[5x\]
\[\frac{-7}{5}\times 5x=\frac{91}{x}\times 5x\]
This gives,
\[-7x=455\]
Divide both the sides by \[-7\]
\[\begin{align}
& x=-\frac{455}{7} \\
& =-65
\end{align}\]
That is, \[x=-65\]
Now, to check it, put \[x=-65\]in the equation
\[\begin{align}
& \frac{-7}{5}=\frac{91}{x} \\
& \frac{-7}{5}=\frac{91}{-65} \\
& \frac{-7}{5}=\frac{-7}{5}
\end{align}\]
which is true.
The required solution is\[x=-65\].
