Question

$x \ - \frac{x - 1}{2} = 1 - \frac{x - 2}{3}$

Solve this problem ​

Answer 1

Answer:

$x = 1$

Step-by-step explanation:

$x - \frac{x - 1}{2} = 1 - \frac{0}{3} \\ x - \frac{x - 1}{2} = 1 - 0 \\ x - \frac{x - 1}{2} = 1 \\ 2x - (x - 1) = 2 \\ 2x - x + 1 = 2 \\ x + 1 = 2 \\ x = 2 - 1 \\ x = 1$

Answer 2

Solution :-

=> $x-\frac{x-1}{2} =1-\frac{x-2}{3}$

=> $\frac{2x-x-1}{2} =\frac{3-x-2}{3}$                                       -----{ by taking L.C.M }

=> $\frac{x-1}{2} =\frac{1-x}{3}$

=> $2(1-x)=3(x-1)$                                     -----{ by cross multiplication }

=> $2-2x=3x-3$

=> $5x =5$

=> $x=1$

                                                     

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