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Solving the real values of x and y
$2+x+jy=(x-jy)(5+j6)$
Here's my working
$2+x+jy=(x-jy)(5+j6)$
$2+x+jy= 5x+6y+j6x-j5y$
Real numbers $2+x=5x+6y$
Imaginary numbers $j6x-j5y=jy$
2026-04-30 09:58:33.1777543113
Complex numbers finding real values of x and y
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You now have a set of equations, two equations for two variables. Have you tried to solve the system?
$$2+x=5x + 6y\\ 6x - 5y = y$$
It isn't all that hard to solve...