Question

the linear equation that converts Fahrenheit (f) to Celsius (c) is given by the relation c=5f-160/9 (i) if the temperature is 86°f,what is the temperature in celsius? (ii) if the temperature is 35°c,what is the temperature in fahrenheit?

Answer 1

(i) c=(5×86-160)/9=(430-160)/9=270/9=30
c=30°C
Similarly you can do for second by substituting 35 in c

Answer 2

Answer:

Temperature in celsius is 30° c .

Temperature in fahrenheit is 95 ° f .

Step-by-step explanation:

As given

The linear equation that converts Fahrenheit (f) to Celsius (c) is given by the relation

$c = \frac{5f -160}{9}$

First part

As given

if the temperature is 86°f .

$c =\frac{5\times 86-160}{9}$

$c =\frac{430-160}{9}$

$c = \frac{270}{9}$

c = 30 ° (Approx)

The temperature in celsius is 30° c .

Second Part

As given

if the temperature is 35°c .

$35 = \frac{5f-160}{9}$

35 × 9 + 160 = 5f

315 + 160 = 5f

475 = 45f

$f = \frac{475}{5}$

f = 95°

Therefore temperature in fahrenheit is 95 ° f .