Answer
The temperature is $-40^{\circ}$.
Work Step by Step
At the temperature of $-40^{\circ}$ both Celsius and Fahrenheit have the same value so $-40^{\circ}C = -40^{\circ}F$. This can be verified by setting Celsius and Fahrenheit equal to each other. The formula to convert from Celsius to Fahrenheit is $(^{\circ}C\times\frac{9}{5} )+ 32$ and the other way around is $(^{\circ}F - 32)\times\frac{5}{9}$
$^{\circ}C = (^{\circ}C\times\frac{9}{5} )+ 32$
$^{\circ}C - (^{\circ}C\times\frac{9}{5} )= 32$
$-\frac{4}{5}^{\circ}C = 32$
$^{\circ}C = -32\times\frac{5}{4}$
$^{\circ}C = -40$
$^{\circ}F = (^{\circ}F\times\frac{9}{5} )+ 32$
$^{\circ}F - (^{\circ}F\times\frac{9}{5} )= 32$
$-\frac{4}{5}^{\circ}F = 32$
$^{\circ}F = -32\times\frac{5}{4}$
$^{\circ}F = -40$
