3 x − 9 = 13 5 ∣ cross m u lt i pl y 13 ( x − 9 ) = 3 ⋅ 5 13 x − 117 = 15 ∣ a dd 117 t o b o t h s i d es 13 x = 132 ∣ d i v i d e b o t h s i d es b y 13 x = 13 132 x = 10 13 2
X=12 ;
To solve the proportion 3 x − 9 = 13 5 , we cross-multiply and simplify to find x = 10 13 2 . The steps involve isolating x by performing arithmetic operations such as adding, distributing, and dividing. Finally, we simplify the fraction to get the mixed number form.
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