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Question

Solve: 37x +29y= 45; 29x + 37y = 21

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Solution

37x+29y=45 ...(1)
29x+37y=21 ...(2)
multi playing equation (1) 29 and equation (2) by 37 we get
1073x+841y = 1305
1073x + 1369y = 777
- - -
______________________
-528y-528
[y = -1]
now from equation (1)
37x = 45+29 (1)
37x = 74
[x = 2]
Hence solution of eq (1) & (2) is (2,-1)

1201967_1387729_ans_74f9c82f48114f51a795aedbfdf6d31f.JPG

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