The problem statement, all variables and given/known data Given that the real and imaginary parts of the complex number [itex]z=x+iy[/itex] satisfy the equation [itex](2-i)x-(1+3i)y=7[/itex]. Find x and y. The attempt at a solution I know it's quite simple. Just equate the real and imaginary parts, but i checked and redid it again, but the answer still evades me! [tex](2x-y-7) + i(-x-3y)=0 \\2x-y-7=x \\x-y=7\, (1) \\-x-3y=y \\4y+x=0\, (2) \\x=28/5 \\y=-7/5 [/tex] I replaced in the original equation but i can't get 7 on the L.H.S. The correct answers: x=3 and y=-1.