Question

The sum of two rational numbers is -8. If one of the numbers is -15/7, find the other.

Answer 1

Answer:

Step-by-step explanation:

(-8- -15/7)

-8+15/7

-56+15/7

-41/7 is the answer

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Answer 2

$\Large{\underbrace{\sf{\green{Required\:Solution:}}}}$

Given thαt,

• The sum of two rαtionαl numbers is -8.
• One of those two numbers is $\displaystyle{\sf{ \dfrac{-15}{7}}}$

◾️We need to find the other rαtionαl number.

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To do so,

Let's αssume thαt the other number be x.

According to the question,

$\longrightarrow{\sf{ x + \bigg( \dfrac{-15}{7} \bigg) = -8}}$

• Trαnspose $\displaystyle{\sf{ \dfrac{-15}{7}}}$ to R.H.S.

$\longrightarrow{\sf{ x = -8 + \dfrac{15}{7}}}$

$\longrightarrow{\sf{ x = \dfrac{(-8\times 7)+15}{7}}}$

$\longrightarrow{\sf{ x = \dfrac{ -56+15}{7}}}$

$\large\implies{\boxed{\sf{\green{ x = \dfrac{-41}{7}}}}}$

Hence, the other rαtionαl number is $\displaystyle{\bf{ \dfrac{-41}{7}}}$

And we are done! :D

Verificαtion -

• Substitute $\displaystyle{\bf{ \dfrac{-41}{7}}}$ in place of x.

L.H.S $\longrightarrow{\sf{ \dfrac{-41}{7} + \dfrac{-15}{7}}}$

$\longrightarrow{\sf{ \dfrac{-41+(-15)}{7}}}$

$\longrightarrow{\sf{ \dfrac{-41-15}{7}}}$

$\longrightarrow{\sf{ \dfrac{-56}{7}}}$

$\longrightarrow{\sf{ \dfrac{ \cancel{-56}}{\cancel{7}}}}$

$\longrightarrow{\sf{ 8}}$

$\displaystyle{\sf{ L.H.S. = R.H.S.}}$

Hence, verified!

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