Answer:
[tex]C =\frac{5}{9}(F - 32)[/tex]
Step-by-step explanation:
Given
[tex]F = 1.8C + 32[/tex]
Required
Solve for C
[tex]F = 1.8C + 32[/tex]
Subtract 32 from both sides
[tex]F-32 = 1.8C + 32-32[/tex]
[tex]F-32 = 1.8C[/tex]
Divide both sides by 1.8
[tex]\frac{1}{1.8}(F - 32) = C[/tex]
Express the decimal as fraction
[tex]\frac{1}{18/10}(F - 32) = C[/tex]
[tex]\frac{10}{18}(F - 32) = C[/tex]
Simplify
[tex]\frac{5}{9}(F - 32) = C[/tex]
[tex]C =\frac{5}{9}(F - 32)[/tex]
