Remember that the formula to convert between Fahrenheit and Celsius is [tex]F=\frac{9}{5} C+32[/tex], where [tex]F[/tex] is the degrees in Fahrenheit, and [tex]C[/tex] is the degrees in Celsius.

Suppose that the equivalent temperature in Fahrenheit is exactly 4 degrees more than the temperature in Celsius. Find the temperature in Celsius.

Sure, let's solve the problem step by step.

1. Understanding the Problem:
We are given two relationships:
- The formula to convert Celsius (C) to Fahrenheit (F) is [tex]$ F = \frac{9}{5}C + 32 $[/tex].
- We know that the temperature in Fahrenheit is exactly 4 degrees more than in Celsius: [tex]$ F = C + 4 $[/tex].

2. Set up the Equation:
Since both expressions equal [tex]$ F $[/tex], we can set them equal to each other:
[tex]\[
\frac{9}{5}C + 32 = C + 4
\][/tex]

3. Solve for C:
We need to solve this equation to find the temperature in Celsius:
- Subtract [tex]$ C $[/tex] from both sides to get rid of [tex]$ C $[/tex] on the right:
[tex]\[
\frac{9}{5}C + 32 - C = 4
\][/tex]

- Simplify the equation. First, find a common denominator to combine the [tex]$ C $[/tex]-terms:
[tex]\[
\frac{9}{5}C - \frac{5}{5}C + 32 = 4
\][/tex]
[tex]\[
\frac{4}{5}C + 32 = 4
\][/tex]

- Subtract 32 from both sides to isolate the term with [tex]$ C $[/tex]:
[tex]\[
\frac{4}{5}C = 4 - 32
\][/tex]
[tex]\[
\frac{4}{5}C = -28
\][/tex]

- Multiply both sides by [tex]$\frac{5}{4}$[/tex] to solve for [tex]$ C $[/tex]:
[tex]\[
C = -28 \times \frac{5}{4}
\][/tex]
[tex]\[
C = -35
\][/tex]

4. Conclusion:
The temperature in Celsius where the Fahrenheit temperature is exactly 4 degrees more is [tex]$-35$[/tex] degrees Celsius.