(a/b)x-3=(b/a)x-5 হয় তবে x এর মান কত?
Solution
Correct Answer: Option D
{ax-3/bx-3} = {bx-5/ax-5}
cross multiplication of both sides of the equation gives us
⇒ (ax-3)(ax-5) = (bx-5)(bx-3)
⇒ ax-3+x-5 = bx-5+x-3
⇒ a2x-8 = b2x-8
⇒ (a/b)2x-8=1
⇒ (a/b)2x-8=(a/b)0
⇒ 2x-8 = 0
⇒ x = 4
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