Question

Solve the equation:
16x^2+25y^2=544 (i)
xy=12 (ii)

Answer 1

\[(4x + 5y)^2 = 16x^{2} + 25y^{2} + 2(4x)(5y) = 544 + 40*12 = 1024\]
\[ 4x + 5y = \pm32\]

Answer 2

I x = 5n+2, y = -4(n+2), n element Z
x = 5 n+3, y = -4 (n-1), n element Z

Answer 3

y = -4/5 (x-8), y = -4/5 (x+8)