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
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 .
;