How do I solve this math question?

Question

If x and y are rational numbers and (3+4 (sqrt(3)) (x+y (sqrt(3)) =26, find the sum of x and y.

Answer 1

(3  + 4√3)(x + y√3) = 26

3x + 4x√3 + 3y√3 + 12y = 26

3x + 12y = 26

4x =3Y = 0

multiply this last equation by 4 and subtract

-13x = 26

x = -2

-8 + 3y = 0 => y = 8/3

You should make sure that these 2 answers satisfy the terms of the problem.