Question

The sum of two rational number is -2 if one of the numbers is -14/5, find the other

Answer 1

Answer: 4/5

Step-by-step explanation:

The sum of two rational numbers is -2.

If one of the numbers is -14/5 then let the another number be $x$

So,

$-14/5+x= -2\\x= -2+14/5\\x = 4/5$

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Lets check the answer:

-14/5+4/5= -10/5

-14/5= -2

♣Hope it helps♣

Answer 2

Hi friend!

Answer:

Let's take the other rational number as x.

$x + \frac{ - 14}{5} = - 2 \\ \\ x = - 2 + \frac{14}{5} \\ x = \frac{ - 10}{5} + \frac{14}{5} \\ x = \frac{4}{5}$

Quick check:
$\frac{4}{5} +( \frac{ - 14}{5} ) \\ = \frac{4 - 14}{5} \\ = \frac{ \sout{- 10} \: - 2}{\sout{5} \: 1} \\ = - 2$
So our answer's correct.

Therefore, the other number is
$\frac{4}{5} .$

Hope you found my answer helpful. Keep Smiling!