Solve this proportion:
\[
\frac{1}{c+5} = \frac{2}{3}
\]
Answer (2)
c 1 + 5 = 3 2 ∥ s u b t r a c t 5 t o b o t h s i d es c 1 = 3 2 − 5 c 1 = 3 2 − 3 15 c 1 = 3 − 13 − 13 c = 3 ∣ d i v i d e b o t h s i d es b y ( − 13 ) c = − 13 3
c + 5 1 = 3 2 2 ( c + 5 ) = 3 2 c + 10 = 3 ∣ s u b t r a c t 10 t o b o t h s i d es 2 c = 3 − 10 2 c = − 7 ∣ d i v i d e b o t h s i d es b y 2 c = − 2 7 c = − 3.5
To solve the proportion c + 5 1 = 3 2 , we cross-multiply to obtain 3 = 2 ( c + 5 ) . After simplifying and solving, we find that c = − 3.5 .
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