Answer
The object should be at $160 ^o C$, which is equal to $320 ^o F$
$C = 160$
$F = 320$
Work Step by Step
1. Create a unknown that has the value of that temperature, I am going to call it "$T$":
- The Celsius temperature is half its Fahrenheit temperature, so:
$C = \frac 1 2F$
- I am also going to give $T$ the Celsius temperature value:
$T = C$
$T = \frac 1 2 F$
$2T = F$
2. Substitute these values on the equation that relates Celsius and Fahrenheit temperatures:
$5F - 9C = 160$
$5(2T) - 9(T) = 160$
$10 T - 9T = 160$
$T = 160$
3. Therefore, the object should be at $160 ^o C$, which is equal to $2(160) ^o F$ or $320 ^o F$
$C = T = 160$
$F = 2T = 2(160) = 320$
