Question

Find the real number x and y such that 3x+2iy-1x+5y=7+5i

Answer 1

$3x+2iy-x+5y=7+5i,$

$(2x+5y)+2iy=7+5i,$

$2x+5y=7,\;\;2y=5,$

$y=\frac{5}{2},\;\;x=\frac{1}{2}(7-5*\frac{5}{2})=-\frac{11}{4}.$

So, $x=-\frac{11}{4},\;\;y=\frac{5}{2}$ .