High School

The linear equation is that f=9÷5×c+32 that convert Fahrenheit to celsius. When Fahrenheit is equal to Celsius

Answer :

Final answer:

The given linear equation f=9÷5×c+32 is used to convert Fahrenheit to Celsius. When Fahrenheit is equal to Celsius, the value of c is -40.

Explanation:

The given linear equation f=9÷5×c+32 is used to convert Fahrenheit to Celsius. In order to find when Fahrenheit is equal to Celsius, we need to equate the two values. Let's substitute f with c in the equation:

c = 9÷5×c + 32

Next, we can simplify the equation by subtracting c from both sides:

0 = 9÷5×c + 32 - c

Simplifying further, we have:

0 = 4/5×c + 32

Finally, we can solve for c by subtracting 32 from both sides and then multiplying by 5/4:

c = (0 - 32) × (5/4)

Therefore, when Fahrenheit is equal to Celsius, the value of c is -40.

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