Question 1182854
<br>
{{{x(1+2i)+y(3+5i)=-3}}}<br>
(1) Expand the left hand side:<br>
{{{x+(2x)i+3y+(5y)i=-3}}}<br>
(2) Combine real and imaginary parts on the left hand side; write the right hand side in a+bi form:<br>
{{{(x+3y)+(2x+5y)i=-3+0i}}}<br>
(3) Equate the coefficients of the real parts and imaginary parts on the two sides:<br>
{{{x+3y=-3}}}
{{{2x+5y=0}}}<br>
(4) Solve the pair of equations<br>
I leave that much to you....<br>