Use the formula F=

9
5C+32 to find the temperature at which Celsius and Fahrenheit are equal.​ (Hint: Replace C with F and solve for the single​ variable.)

1 answer

To find the temperature at which Celsius and Fahrenheit are equal, we can substitute F with C in the formula.

Let's replace F with C in the formula F=9/5C+32:

C = 9/5C + 32

Now, let's solve for C.

To do this, we need to get rid of the fractions by multiplying every term in the equation by the least common denominator (LCD) of 5:

5C = 9C + 160

Next, let's subtract 9C from both sides of the equation:

5C - 9C = 160

Simplifying the equation:

-4C = 160

Now, let's solve for C by dividing both sides of the equation by -4:

C = 160 / -4

C = -40

Therefore, the temperature at which Celsius and Fahrenheit are equal is -40°C.