Question

the sum of two rational number is -3 if one of the numbers is minus 7 by 5 then find the other number​

Answer 1

Answer:

Hërê is your answer dear:-

In attachment ✌️

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Answer 2

Given:

• the sum of two rational number is -3
• one of the numbers is minus 7/5

To Find:

• the other rational number

Solution:

here, we have given that when added 2 numbers they equal -3 respectively so, Now let's consider the unknown number as x and now let's frame up an equation accordingly!

$\longrightarrow \tt \: \frac {- 7}{5} + x = - 3$

• Now let's solve this using the transposition method

$\longrightarrow \tt \: \frac {- 7}{5} + x = - 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \tt \: x = \frac{ - 3}{ \: \: \: 1} + \frac{7}{5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \tt \: x = \frac{ - 3 \times 5}{1 \times 5} - \frac{7 \times 1} { 5 \times 1} \\ \\ \\ \longrightarrow \tt \: x = \frac{ - 15}{5} \: + \frac{7}{5} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \tt \: x = \frac{ - 15 + 7}{5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \tt \: x = \frac{ - 8}{ \: \: \: 5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

• hence forth the other number is - 8/5

Verification:

here,

• Let's put the value of-8/5 in the place of x and check weather R.H.S = L.H.S

$\longrightarrow \tt \: - \frac{7}{5} + \frac{ - 8}{5} = - 3 \\ \\ \\ \longrightarrow \tt \frac{ - 7}{5} - \frac{8}{5} = - 3 \: \: \: \: \\ \\ \\ \longrightarrow \tt \frac{ - 7 - 8}{5} = - 3 \: \: \: \: \\ \\ \\ \longrightarrow \tt \cancel\frac{ - 15}{5} = - 3 \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow { \boxed{\tt{ - 3 = - 3}}} \: \: \: \: \: \: \: \: \:$

Hence Proved!!!