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Question

Solve:
23x29y=9829x22y=110

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Solution

23x29y=98 ........(1)
29x22y=110 ........(2)

From (1)x2923y=9823 ........(3)

From (2)x2229y=11029 ........(4)

Equations (3)(4)

x2923yx+2229y=982311029

(2923+2229)y=982311029

y=9823110292923+2229=28422530841+506=312335

Put y=312335 in (1) we get

23x29×312335=98

23x=989048335=328309048335=23782335

x=23782335×23=1034335

x=1034335,y=312335

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