Question

Find the value of x and y

Answer 1

$y = 9$

and

$x = 4$

by observation.

Answer 2

√x + y = 11
x + √y = 7

√x+y=7x+√y=11√x=7-y√y=11-xthe square root of a number is always the positive square roottherefore y can't be greater than 11 and x can't be greater than 7 now look at the perfect squares 1, 4, 9, 16  assuming x and y are perfect squares and a little trial and error...x=  4  and y= 9