Question

Given,
a/b = c/d, prove that
3a-5b/3a+5b = 3c - 5d/3c+5d ​

Answer 1

Answer:-

Given:

a/b = c/d

By cross multiplication,

⟹ ad = bc -- equation (1).

To Prove:

3a - 5b/3a + 5b = 3c - 5d/3c + 5d

On cross multiplication,

⟹ (3a - 5b) * (3c + 5d) = (3a + 5b) * (3c - 5d)

⟹ 3a(3c + 5d) - 5b(3c + 5d) = 3a(3c - 5d) + 5b(3c - 5d)

⟹ 9ac + 15ad - 15bc - 25bd = 9ac - 15ad + 15bc - 25bd

⟹ 15ad - 15bc = 15bc - 15ad

From equation (1),

Taking ad as bc,

⟹ 15bc - 15bc = 15bc - 15bc

⟹ 0 = 0

Hence, Proved.

Answer 2

Answer:

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