Question

find value of x-1/3 - x-2/5 =3

Answer 1

Hey there !

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$\frac{x - 1}{3} - \frac{x - 2}{5} = 3 \\ \\ \bold{lcm \: of \: 3 \: and \: 5 \: is \: 15.} \\ \\ \frac{5(x - 1) - 3(x - 2)}{15} = 3 \\ \\ \frac{5x - 5 - 3x + 6}{15} = 3 \\ \\ 5x - 3x - 5 + 6 = 3 \times 15 \\ \\ 2x + 1 = 45 \\ \\ 2x = 45 - 1 \\ \\ 2x = 44 \\ \\ x = \frac{ \cancel{44} \: \: {}^{22} }{ \cancel{2 \:} \: \: 1 } \\ \\ \boxed{ \bold{x = 22}}$

Now,

$\bold{\underline{Verification :}}$

On substituting the value of x = 22 ,

$\frac{x - 1}{3} - \frac{x - 2}{5} = 3 \\ \\ \frac{22 - 1}{3} - \frac{22 - 2}{5} = 3 \\ \\ \frac{ \cancel{21} \: \: {}^{7} }{\cancel{3 \: } \: \: {}^{1} } - \frac{\cancel{20} \: \: {}^{4}}{\cancel{5 \: } \: \: {}^{1}} = 3 \\ \\ 7 - 4 = 3 \\ \\ \bold{ 3 = 3}$

Hence, LHS = RHS.

Therefore,

value of x = 22.

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Thanks for the question !

Answer 2

Here the required value of x is 22 .

For the full solution refer to the above attachment !!

Here firstly you have to take LCM ( Least Common Multiple) .

Then the next steps .

Verification:

$\frac{x - 1}{3} - \frac{x - 2}{5} = 3 \\ put \: x = 22 \\ \frac{22 - 1}{3} - \frac{22 - 2}{5} = 3 \\ \frac{21}{3} - \frac{20}{5} = 3 \\ 7 - 4 = 3 \\ 3 = 3$
# Hence verified !!

Because Left hand side= Right hand side .

#Be Brainly!!