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 July 24th, 2017, 02:39 PM #1 Senior Member   Joined: Jul 2013 From: United Kingdom Posts: 470 Thanks: 40 Need help - Problem related to complex numbers... So, I need help with this problem guys. Here it goes... The real and imaginary parts of the complex number $\displaystyle z=x+iy$ satisfy the equation $\displaystyle \left( 2-i \right) x-\left( 1+3i \right) y-7=0$. Find the value of x and the value of y. --------- ** Thanks in advance. Please leave your workings, I'd appreciate it.
 July 24th, 2017, 02:52 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,116 Thanks: 1910 The equation is equivalent to $2x - y - 7 - (x + 3y)i = 0$, so $2x - y - 7 = x + 3y = 0$. It follows that $(x,\,y) = (3,\,-1)$. Thanks from perfect_world
 July 24th, 2017, 03:00 PM #3 Senior Member   Joined: Jul 2013 From: United Kingdom Posts: 470 Thanks: 40 I see, so the idea was to set up a simultaneous equation. It was the first problem like it in the textbook. Cheers.

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