Question

if 7a-5b/7c-5d = 7a+5b/7c+5d prove a/b=c/d​

Answer 1

Step-by-step explanation:

$= > \frac{7a - 5b}{7c - 5d} = \frac{7a + 5b}{7c + 5d} \\ = > (7a - 5b)(7c + 5d) =( 7a + 5b)(7c - 5d) \\ = > 49ac + 35ad - 35bc - 25bd = 49ac - 35ad + 35bc - 25bd \\ = > 70ad - 70bc \\ = > 70(ad - bc) \\ = > ad = bc \\ = > \frac{a}{b} = \frac{c}{d}$