Question

solve the following equation ​

Answer 1

SOLUTION:-

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

Hope it helps ☺️

Answer 2

Answer:

x=4.5

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

-0.5/1.5=-0.5/1.5

Step-by-step explanation:

refer image.....

first cross multiply both the equations.

when is the BODMAS and open the brackets..

now you will get two polynomial equations.

cancel the common terms and add or subtract the same terms.....

finally will get x.

now substitute the value of x in b equations....

in the LHS we get negative symbol in the numerator and RHS we get negative symbol in the denominator...

doesn't matter whether the negative symbol is in the numerator and denominator we consider it as in the numerator.....

we get the same answer.....

hence proved.....

please mark as brainliest answer....