Question

solve each of the following equation and chek your answer in each case..

Answer 1

Heya mate,Here is ur answer

$\frac{x - 2}{3} + \frac{x - 3}{4} = \frac{x - 1}{2}$

Taking LCM

$\frac{4 \times (x - 2) + 3(x - 3)}{12} = \frac{x - 1}{2}$

Now multiplying

$\frac{4x - 8 + 3x - 9}{12} = \frac{x - 1}{2}$

$\frac{7x - 17}{12} = \frac{x - 1}{2}$

Cross multiplying

2(7x-17)=12(x-1)

14x-34=12x-12

Taking like terms a side

14x-12x=-12+34

2x=22

$x = \frac{22}{2}$

x=11.

Check

Putting x=11

$\frac{11 - 2}{3} + \frac{11 - 3}{4} = \frac{11 - 1}{2}$

$\frac{9}{3} + \frac{8}{4} = \frac{10}{2}$

$\frac{4 \times 9 + 3 \times 8}{12} = 5$

$\frac{36 + 24}{12} = 5$

$\frac{60}{12} = 5$

5=5

Hence Verified

Warm Regards

@Laughterqueen

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