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Answer 1

Answer:

$a -( \frac{a - 1}{2} ) = 1 - \frac{(a - 2)}{3} \\ \\ \frac{2a - a + 1}{2} = \frac{3 - a + 2}{3} \\ \\ \frac{a + 1}{2} = \frac{5 - a}{3} \\ \\ 3a + 3 = 10 - a \\ \\ 4a = 7 \\ \\ a = \frac{7}{4}$

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Answer 2

Answer:

a = 7/5 .

Step-by-step explanation:

Given expression is;

        ⇒ $a-(\frac{a-1}{2})$  = $1-\frac{(a-2)}{3}$

        ⇒  $\frac{2a-a+1}{2}$ = $\frac{3-a+2}{3}$

        ⇒ $\frac{a+1}{2}$  =  $\frac{5-a}{3}$

        ⇒ 3*(a + 1) = 2*(5 - a)

        ⇒ 3*a + 3 = 10 - 2*a

        ⇒ 5*a = 10 - 3 = 7

        ⇒ a = 7/5

Therefore, value of a = $\frac{7}{5}$ .