Question

Solve the question by Elimination Method
$x + \sqrt[]{y} = 7$
$\sqrt{x } + y = 11$

Answer 1

Answering your exact question, one way would be to say the value of √x+y is 11 and the value of x+√y is 7, depending on where you might place commas in the question.

Let a=x−−√a=x and b=y√b=y. Isolating the b in the first and brutally substituting into the second gives

a4−14a2+a+38=(a−2)(a3+2a2−10a−19)=0a4−14a2+a+38=(a−2)(a3+2a2−10a−19)=0

If a=2a=2, then b=3b=3 and so x=4x=4 and y=9y=9.

Answer 2

hope it helps.
^_^ Very nice questions it was.
If u find other method tell me too