Question

Find x-y if 4x-3y-sqroot(4x-3y)= 5 and 7x-2y+sqroot(7x-2y)=1

Answer 1

Let sqroot(4x-3y) = a

a^2 - a = 5

Let sqroot(7x-2y) = b

b^2 + b = 1

Answer 2

\[b = 1/2 (-1\pm \sqrt{5})\]\[a = 1/2 (1\pm \sqrt{21})\]

Answer 3

Doesnt that make x - y to be evaluated more complicated?

Answer 4

But either way you can still get the same and correct answer