Question

The sum of two rational number is 1/2. If one of the number is -8/19 find the other.

Answer 1

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Q1)The sum of two rational numbers is 1/2 .If one of the number is -8/19 ,Find the other,,

$\: \underline{ \boxed{ \sf{answer \to}}}$

$\: \: \bullet \large \sf{ x + y = \frac{1}{2} }....given \: condition$

$\: \\ \implies \bf{y = \frac{ - 8}{19}..... \: given \: number}$

$\: \: \implies \displaystyle \rm{x + y = \frac{1}{2} }$

$\: \implies \displaystyle \rm{x + \frac{ - 8}{19} = \frac{1}{2} }$

$\: \implies \displaystyle \rm{19x - 8 = \frac{19}{2} }$

$\: \implies \displaystyle \rm{39x - 16 = 19}$

$\: \: \implies \displaystyle \rm{39x - 16 - 19 = 0}$

$\: \: \implies \displaystyle \rm{39x = 35}$

$\: \: \implies \displaystyle \rm{x = \frac{35}{39} }$