Question

4. The sum of two rational numbers is -8. If one of the numbers is -13/7find the other.
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Answer 1

Step-by-step explanation:

Given that the sum of two rational number is -8.

Given one number=-13/7.

Let the second numbe be x.

Therefore,

A/Q, -13/7+x=-8

=>x=-8+13/7

=>x=-43/7

$(- 56 + 13) \div 7$

Answer 2

$\boxed {\underline {\mathbb {FINAL\:ANSWER:-}}}$

$\boxed{\frac{-43}{7}}$

$\boxed {\underline {\mathbb {GIVEN:-}}}$

sum of two rational numbers is -8

one of the numbers is $\frac{-13}{7}$

$\boxed {\underline {\mathbb {TO\:FIND:-}}}$

the other number that is added to $\frac{-13}{7}$ to give -8

$\boxed {\underline {\mathbb {THINGS\:TO\:ASSUME:-}}}$

Let’s consider the rational number as  x

$\boxed {\underline {\mathbb {SOLUTION:-}}}$

According to question

Sum of 2 rational number $= -8$ [as x+y=-8]

As we have given one of number$= \frac{-13}{7}$

So let’s frame the equation  

$x+\frac{-13}{7}=-8$

$x=-8+\frac{13}{7}$

$x=\frac{-8 \times 7 + 13} {7}$

$x=\frac{-56+13}{7}$

$x=\frac{-43}{7}$  

hence the rational number that is added to $\frac{-13}{7}$ to give -8 is $\boxed{\frac{-43}{7}}$

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