Find X and Y if X + Y = $open square brackets table row 7 0 row 2 5 end table close square brackets comma space X minus Y equals open square brackets table row 3 0 row 0 3 end table close square brackets$ .

Solution

We have X + Y =

open square brackets table row 7 0 row 2 5 end table close square brackets space space space space space space space space space space space space space space space space space space space space space space

....(1)
and X - Y =

open square brackets table row 3 0 row 0 3 end table close square brackets

....(2)
Adding (1) and (2), we get,

2 straight X equals open square brackets table row 10 0 row 2 8 end table close square brackets. space space space space space space space space therefore space space straight X equals open square brackets table row 5 0 row 1 4 end table close square brackets

Subtracting (2) from (I), we get

2 straight Y equals open square brackets table row 4 0 row 2 2 end table close square brackets therefore space space space space space straight Y equals 1 half open square brackets table row 4 0 row 2 2 end table close square brackets equals open square brackets table row 2 0 row 1 1 end table close square brackets

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