College

Use the linear equation [tex]y = \frac{5}{9}(x - 32)[/tex], where \(x\) is degrees Fahrenheit and \(y\) is degrees Celsius, to convert each temperature.

(a) 7 degrees Celsius to Fahrenheit

(b) 26 degrees Fahrenheit to Celsius

Answer :

A. Substitute 7 for y and solve for x

7=(5/9)(x-32). Multiply both sides by 9/5

7(9/5)=x-32
63/5=x-32
12.6 = x-32
44.6=x

7 degrees Celsius is 44.6 degrees Fahrenheit

B. Substitute 26 for x and solve for y

y=5/9(26-32)
y=5/9(-6)
y= -30/9
y=-3.33

26 degrees Fahrenheit is converted to -3.33 degrees Celsius

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