Math, asked by sanyalprateeti, 4 months ago

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

Answers

Answered by singhanshika1102
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}

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