Solve 23x_29y=98and29 x_23y=110

1.	Solve 23x_29y=98and29 x_23y=110
Answer» 23x\xa0−\xa029y\xa0=\xa098 ....(1)29x\xa0−\xa023y\xa0=\xa0110 ...(2)Adding\xa0(1)\xa0and\xa0(2),\xa0we\xa0get52x\xa0−\xa052y\xa0=\xa020852 (x-y) =208⇒x\xa0−\xa0y\xa0=\xa04 .....(3)Subtracting\xa0(2)\xa0from\xa0(1),\xa0we\xa0get−6x\xa0−\xa06y\xa0=\xa0−12⇒x\xa0+\xa0y\xa0=\xa02 ....(4)adding\xa0(3)\xa0and\xa0(4),\xa0we\xa0get2x\xa0=\xa06⇒x\xa0=\xa03Now,\xa0from\xa0(4),\xa0we\xa0gety\xa0=\xa0−1Hence, x=3 and y= -1.

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