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Find the value of (x+y) and (x-y), if 27...

Find the value of `(x+y)` and `(x-y)`, if `27x+31y=85` , `31x+27y=89`.

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`27x+31y=85`…..`(1)` `31x=27y=89`……`(2)`
Adding equations `(1)` and `(2)`
`{:(27x+31y=85" ...(1)"),(31x+27y=89" ...(2)"),(bar(""58x""+"58y"="174")):}`
`:.x+y=3` ……..(Dividing both the sides by `58`)
`{:(31x+27y=89" ...(2)"),(27x+31y=85" ...(1)"),("- - -"),(bar(""4x" "-""4y" =" "4")):}` ......[Subtracting equation `(1)` from equation `(2)`]
`:.x-y=1`......(Dividing both the sides by `4`)
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