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2015-05-11T20:39:13+05:30

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GIVEN ;-

⇒ 37 x + 43 y = 123


43 x + 37 y = 177



TO FIND ;-

x and y in the given sum


SOL ;-

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

⇒ 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

              ⇒When we simplify we get a result of  80 x + 80 y = 300


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


                                                          ⇒ { Equation - 3 }
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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 -

                          ⇒ x - y = 9
                      
                                                     
           { Equation .No 4 }

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


                       ⇒ 2 x = 9  + 15 / 4

 
                       ⇒ 2 x =  51 / 4      
 
so x         is equal to           
⇒  51 / 8         



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.

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0
perhaps there is some calculation mistake in the answer
Thank you so much for finding error. i ll correct it sir
2015-05-11T23:39:18+05:30

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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

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