Question 1181458
<br>
{{{2i = ix(2-3i)-y(5+3i)}}}<br>
Do the distribution on the right<br>
{{{2i = 2ix-3i^2x-5y-3yi}}}<br>
Simplify/reformat<br>
{{{2i = 2xi+3x-5y-3yi}}}<br>
Separate the real and imaginary parts<br>
{{{2i = (3x-5y)+(2x-3y)i}}}<br>
Add "0" on the left to indicate that the real part of that expression is 0<br>
{{{0+2i = (3x-5y)+(2x-3y)i}}}<br>
Write two equations in x and y showing that the real parts of the two expressions are equal and the imaginary parts of the two expressions are equal.<br>
{{{3x-5y = 0}}}; {{{2x-3y=2}}}<br>
Solve the pair of equations.<br>
I leave that last bit for you....<br>