solve eqn for x, y belongs toR

(x+iy) (5+6i) = 2+3i

 (x+iy) (5+6i) = 2+3i

5x+6ix + 5iy + 6i2y = 2+3i

5x-6y + i(6x+5y) = 2+3i

5x-6y = 2 ____(1)

6x+5y = 3_____(2)

solving both equ. we get

y = 3/11 & x = 8/11.....

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I want the complete solution after forming of 2 equations.
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(x+iy) (5+6i) =2+3i
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