At what temperature does the numerical value in F match the numerical value in C?

Set

C=F
9/5(X)+32=5/9(X-43)
solve for X

-44.927

To find the temperature at which the numerical value in Fahrenheit (F) matches the numerical value in Celsius (C), we can equate the two temperature scales using the conversion formula.

The formula to convert a temperature from Celsius to Fahrenheit is:
F = (C × 9/5) + 32

To find the temperature at which F matches C, we need to solve the equation F = C. Substituting the conversion formula, we get:
(C × 9/5) + 32 = C

To solve for C, first distribute the 9/5 to both terms:
(9/5)C + 32 = C

Next, subtract (9/5)C from both sides:
32 = (9/5)C - C

Combining like terms on the right side:
32 = (4/5)C

To isolate C, divide both sides by (4/5) or multiply by the reciprocal (5/4):
32 × (5/4) = C

Simplifying the right side:
40 = C

Therefore, the temperature at which the numerical value in Fahrenheit matches the numerical value in Celsius is 40 degrees.