Solve for \( b \).
\[
\frac{7}{9} = \frac{b}{b - 10}
\]
Answer (2)
9 7 = b − 10 b cross m u lt i pl y 9 b = 7 ( b − 10 ) 9 b = 7 b − 70 ∣ s u b t r a c t 7 b f ro m b o t h s i d es 2 b = − 70 ∣ d i v i d e b o t h s i d es b y 2 b = − 35
To solve the equation 9 7 = b − 10 b , we cross-multiply, leading to the equation 7 ( b − 10 ) = 9 b . After isolating b , we find that b = − 35 . Therefore, the final answer is b = − 35 .
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