Question

solve for x and y : 47x+31y = 63,31x + 47y = 15.​

Answer 1

Answer:

47x+31y = 63

31x + 47y = 15.

1457x+1457y=2961

Answer 2

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we have,  47x + 31y =63  ...............(1)

and          31x + 47y =15. ..................(2)

adding (1) and (20 we get

                                     

78x + 78y =78 

dividing it by 78 we get 

                   

x + y = 1 .................. (3)

again  subtacting (1) and (2) we get

again  subtacting (1) and (2) we get                                     

   16x - 16y= 48

dividing it by 16 we get

x - y = 3. ...............(4)

Now, adding (3) and (4) we get

                                             

    2x = 4                                                                                                                                 Hence x = 2

Putting x  in (4) we get :-

                                     

2-y = 3    

Hence y = -1

                     

Therefore x = 2,  y =-1

Hope it helps !