Help me in Physics . How do i solve this?

A. for Fahrenheit and Celsius temperate it is -40 C and -40 F

lets see

y--measure in Fahrenheit

x--is measure in Celsius

formula:-

y=1.8x+32

to derive the measure where-----y=x

substitute it in the equation

therefore substituting---y=x

x=1.8x+32

1x-1.8x=32

-0.8x=32

0.8x= -32

8x= -320

therefore x= -320/8

x= -40

since x=y

y= -40

hence,

-40 degree Celsius is equal to -40 degree Fahrenheit

2.for Fahrenheit and kelvin it is 574.7 K and 574.7 F

To convert Celsius into Kelvin we can use the formula:

K = C + 273.2 . . . .

To convert Fahrenheit into Kelvin we use the formula:

F = (9/5)C + 32 . . .

At certain temperature, if the "K" & "F" readings are the same,

K° = F°

C + 273.2 = (9/5)C + 32

273.2 - 32 = (9/5)C - C

241.2 = .8C

C = 241.2 / .8 = 301.5

Substitute this value in equations (1) & (2)

K = 301.5 + 273.2 = 574.7°

F = (9/5) 603 + 273.2 = 574.7°

the thermometers will read the same when kept at the same substance.