Question

the sum of two rational number is -10 if one of the number is minus 7 by 13 find other

Answer 1

Hey mate!

Let, the unknown number be x. Then,
x+(-7/13) = -10
=> x = -10+7/13
=> x = (-130+7)/13
=> x = -133/13

That's the answer!

Hope it helps :)

Answer 2

${}^{\tt{\bold{ \underbrace{ \overbrace{\green{ \mathtt{ verifyed \:\bf{\checkmark}}}}}}}}$

$\large\underline\bold{ANSWER \red{\huge{\checkmark}}}$

$\large\underline\bold{GIVEN,}$

$\dashrightarrow sum\:of\:two\:rational\:numbers\:is= -10 \\ \dashrightarrow one \:of\:the\:number\:is\: \dfrac{-13}{7}$$\large\underline\bold{TO\:FIND,}$

$\longrightarrow \red{ the\:other \:number .}$

$\large\underline\bold{SOLUTION,}$

$\therefore let\: other\:number\:be\:x \\ \\ \\ \rm{ \green{ ACCORDING\:TO\:THE\:QUESTION.}} \\ \\ \mid \implies x +\dfrac{-13}{7} = -10\\ \\ \mid\implies x=-10+ \dfrac{13}{7} \\ \\ \mid \implies x= \dfrac{-70+13}{7} \\ \\ \mid \implies x= \dfrac{-57}{7} \\ \\ \rm{\boxed{ \underline{ \red{ \mid \star \mid \: \dfrac{ -57}{7} \: \mid \star \mid }}}}$

$\large\underline\bold{verifying }$

$\mid \implies \dfrac{-57}{7}+ \dfrac{-13}{7}= -10 \\ \\ \mid \implies \dfrac{(-57)+(-13)}{7} =-10 \\ \\ \mid \implies \dfrac{-70}{7} =-10 \\ \\ \mid\implies \cancel \dfrac{-70}{7} =-10 \\ \\ \mid \implies -10=-10 \\ \\ \bold{ \underbrace{ \overbrace{\green{ \mathtt{ verifyed \:\bf{\checkmark}}}}}}$

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