Math, asked by ironman215, 1 year ago

x-5/x-3 =x-4/x-6 give the ans step by step​

Answers

Answered by AbyThankachan
2

Answer:

Step-by-step explanation:

The solution is given in image

Attachments:
Answered by Anonymous
0

SOLUTION:-

Given:

x-5/x-3= x-4/x-6

Therefore,

 =  >  \frac{x - 5}{x - 3}  =  \frac{x - 4}{x - 6}  \\ (cross \: multiplication)  \\  =  > (x - 6)(x - 5) = (x - 3)(x - 4) \\  \\  =  > x(x - 5) - 6(x - 5) = x(x - 4) - 3(x - 4 )\\  \\  =  >  {x}^{2}  - 5x - 6x + 30 =  {x}^{2}  - 4x - 3x + 12 \\  \\  =  >  - 11x + 30 =  - 7x + 12 \\  \\  =  >  - 11x + 7x = 12 - 30 \\  \\  =  >  - 4x =  - 18 \\  \\  =  > x =  \frac{18}{4}  \\  \\  =  > x =  \frac{9}{2}

Hope it helps ☺️

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