Math, asked by raiskhan, 1 year ago

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

Answers

Answered by Agastya0606
10

Given: The equation: x-5/x-3= x-4/x-6

To find: Solve the equation?

Solution:

  • Now we have given:

                x-5/x-3= x-4/x-6

  • Cross multiplying it, we get:

                (x-5) (x-6) = (x-4) (x-3)

  • Now expanding, we get:

                x² - 6x - 5x + 30 = x² - 3x - 4x + 12

                -11x + 30 = -7x + 12

                30 - 12 = 11x - 7x

                18 = 5x

                x = 18/5

Answer:

           So the value of x is 18/5.

Answered by amruthaammu54
3

Answer:

18/5

Step-by-step explanation:

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

= (x-5) (x-6) = (x-4) (x-3)

Expand them ;

x² - 6x - 5x + 30 = x² - 3x - 4x + 12

-11x + 30 = -7x + 12

30 - 12 = 11x - 7x

18 = 5x

x = 18/5

Hope it helps ^_^

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