Answer:
x = 1, y = 4
Explanation:
Given
(2x + 3) + i(x - 2y) = 5 - 7i
Equate the real parts on both sides
2x + 3 = 5 ( subtract 3 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Equate the coefficients of the imaginary terms
x - 2y = - 7 , that is
1 - 2y = - 7 ( subtract 1 from both sides )
- 2y = - 8 ( divide both sides by - 4 )
y = 4