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### This Is a Certified Answer

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**⇒ 37 x + 43 y = 123**

__GIVEN ;-__

⇒43 x + 37 y = 177

**⇒ Let us take - 37 x + 43 y = 123 as Equation . No - 1**

TO FIND ;-

x and y in the given sum

SOL ;-

TO FIND ;-

x and y in the given sum

SOL ;-

**⇒ Let us take 43 x + 37 y = 177 as Equation . No - 2**

**⇒ Now add Equation. 1 and 2 , we get -**

**⇒ 37 x + 43 x + 43 y + 37 y = 123 + 117**

**⇒**

**⇒Now when it is decreased , we get a result of x + y = 15 / 4**

__When we simplify we get a result of 80 x + 80 y = 300__

**⇒ { Equation - 3 }**

__------------------------------------------------------------------------------------------------__

**⇒**

**Let us now subtract Equation 1 and 2 we get as follows ,**

37 x + 43 y - 43 x - 37 y = 6

- 6 x + 6 y = - 54

⇒ When decreased , we get a result as -

37 x + 43 y - 43 x - 37 y = 6

- 6 x + 6 y = - 54

**⇒**

__x - y = 9__

**⇒**

**{ Equation .No 4 }**

----------------------------------------------------------------------------------------------

**⇒ 2 x = 9 + 15 / 4**

Let us now add equation 3 and 4 to get the final result -

Let us now add equation 3 and 4 to get the final result -

⇒ 2 x = 51 / 4

**⇒ 51 / 8**

so x is equal to

so x is equal to

**---------------------------------------------------------------------------------------------------------------------**

y = x - 9

y = 51 / 8 - 9

y = -21/ 8 is the answer.

__Therfore x is equal to 51 / 8 and y is equal to__

y = x - 9

y = 51 / 8 - 9

y = -21/ 8 is the answer.

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

37 x + 43 y = 123 ----(1)

43 x + 37 y = 177 --- (2)

(1) - (2) : - 6 x + 6 y = - 54

=> x - y = 9 --- (3)

(1) + (2) : 80 x + 80 y = 300

=> x + y = 15/4 -- (4)

add (3) and (4): 2 x = 9 + 15/4 = 51/4

=> x = 51/8

=> y = x - 9 = -21/8

43 x + 37 y = 177 --- (2)

(1) - (2) : - 6 x + 6 y = - 54

=> x - y = 9 --- (3)

(1) + (2) : 80 x + 80 y = 300

=> x + y = 15/4 -- (4)

add (3) and (4): 2 x = 9 + 15/4 = 51/4

=> x = 51/8

=> y = x - 9 = -21/8