Question

√x + y = 11
√y + x= 7
compute the values of x and y ​

Answer 1

Answer:

x= 4

y=9

hope it helps

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Answer 2

A wild guess would be that since both the equations equal a positive integer, each of x and y would be an integer.

The question boils down to which two perfect square numbers add up to 11.

A few beginning perfect squares are 1, 4, 9, 16 and so on.

A little observation shows that if we use x as 4, the equation is satisfied, so let's keep it as an option.

Now plugging in x = 4 and y = 9 satisfies the second equation too. This logically implies the solution is (4, 9)

Had we not got an answer, we always have the traditional method of squaring and solving as a resort.