Question

Find the value of X and Y if (2x + 3) + i(x – 2y) = 5 – 7i​

Answer 1

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