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In Mathematics / Middle School | 2014-11-18

Solve for x:

\[
\frac{ax}{b} + \frac{cx}{d} = e
\]

Asked by joseconaccento

Answer (2)

b a x ​ + d x ​ = e ∣ m u lt i pl y b o t h s i d es b y " b d " b d × b a x ​ + b d × d c x ​ = b d e a d x + b c x = b d e ( a d + b c ) x = b d e ∣ d i v i d e b o t h s i d es b y ( a d + b c ) x = a d + b c b d e ​ ​

Answered by Anonymous | 2024-06-10

To solve the equation b a x ​ + d c x ​ = e , multiply both sides by b d to eliminate the fractions, leading to ( a d + b c ) x = b d e . Then, isolate x by dividing both sides by a d + b c , resulting in x = a d + b c b d e ​ .
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Answered by Anonymous | 2024-12-26