Question

sum of 2 rational numbers is - 8 if one of the numbers is -13/7 find the other​

Answer 1

Given : ↴

$\sf \: Sum \: of \: two \: rational \: number \: is \: -8.$

$\sf \: One \: of \: them \: is \: \: \cfrac{ - 13}{7}$

To Find : ↴

$\sf \: We \: have \: to \: find \: the \: another \: number.$

So, Let's Start : ↴

$\sf \: Let \: the \: another \: number \: be \: x.$

$\sf \: x \: + \cfrac{ - 13}{7} \: = \: \cfrac{ - 8}{1}$

$\sf \: x \: = \cfrac{ - 8}{1} \: - \: \cfrac{ - 13}{7}$

$\sf \: x \: = \cfrac{ - 56 - ( - 13)}{7}$

$\sf \: x \: = \cfrac{ - 56 + 13)}{7}$

$\sf \: x \: = \cfrac{ - 43}{7}$

$\sf \: So, \: the \: another \: number \: is \: \cfrac{ - 43}{7}$

_______________________

Let's Verify Our Answer : ↴

$\sf \: x \: + \cfrac{ - 13}{7} \: = \: \cfrac{ - 8}{1}$

$\sf \: \cfrac{ - 43}{7} + \cfrac{ - 13}{7} = \: \cfrac{ - 8}{1}$

$\sf \: \cfrac{ - 43 + (-13)}{7} \:= \: \cfrac{ - 8}{1}$

$\sf \: \cfrac{ - 43 -13}{7} \:= \: \cfrac{ - 8}{1}$

$\sf \: \cfrac{ 43 +13}{7} \:= \: \cfrac{ - 8}{1}$

$\sf \: \cfrac{ 56}{7} \:= \: \cfrac{ - 8}{1}$