Question

the sum of two rational number is -7 . if one of the number is -5/19 the other number is ____?​

Answer 1

Given :

sum of two rational numbers is (-7)

one number is -5/19

To ne found :

another number

Let the rational number be x

now,

according to the question

sum of two rational numbers = -7

$x + (\frac{ - 5}{19}) = - 7 \\ \\ \implies \: x - \frac{5}{19} = - 7\\ \\ \implies x = - 7 + \frac{5}{19} \\ \\ \implies \: x = \frac{ - 133 + 5}{19} \\ \\ \implies \: x = \boxed{ \boxed{ \frac{ - 128}{19}}}$

Hence,

another number is

$\boxed{ \boxed{ \frac{ - 128}{19}}} \:$

Answer 2

Step-by-step explanation:

$\bold{Given -} \\ Sum \: of \: two \: rational \: number \: is \: \bold{ - 7} \\ One \: number \: is \: \bold{ \frac{ - 5}{19} } \\ \\ \bold{To \: find - } \\ Other \: number = {?} \\ \\ Now, \\ Let \: \bold{x} \: be \: the \: other \: number \\ It \: means, \\ \implies x + (\frac{ - 5}{19} ) = - 7 \\ \implies x - \frac{5}{19} = - 7 \\ \implies x = \frac{5}{19} - 7 \\ \implies x = \frac{5 - 133}{19} \\ \implies x = \frac{ - 128}{19} \\ \\ Hence, \\ \bold{The \: required \: number \: is \: \frac{ - 128}{19} }$