Question

if 5+6i/3+4i=x+iy find x and y​

Answer 1

$\frac{5 + 6i}{3 + 4i} = x + iy \\ \frac{5 + 6i}{3 + 4i} \times \frac{3 - 4i}{3 - 4i} = x + iy \\ \frac{15 - 20i + 18i + 24}{9 + 16} = x + iy \\ \frac{39 - 2i}{25} = x + iy \\ \frac{39}{25} - \frac{2}{25} i = x + iy \\comparing \: both \: sides \\ x = \frac{39}{25} \: \: \: \: y = - \frac{2}{25}$