EQUATLITY OF COMPLEX NUMBERS WORKSHEET

Find real numbers x and y such that :

Problem 1 :

(x + 2i) (1 - i) = 5 + yi

Problem 2 :

2x + 3yi = -x - 6i

Problem 3 :

x² + xi = 4 - 2i

Problem 4 :

(x + yi) (2 - i) = 8 + i

Problem 5 :

(3 + 2i) (x + yi) = -i

Problem 6 :

2(x + yi) = x - yi

Problem 7 :

(x + 2i) (y - i) = -4 - 7i

Problem 8 :

(x + i) (3 - iy) = 1 + 13i

Problem 9 :

(x + yi) (2 + i) = 2x - (y +1)i

Answer Key

1) x = 3 and y = -1

2) x = 0 and y = -2

3) x = -2

4) x = 3

5) x = -2/13 and y = -3/13.

6) x = 0 and y = 0

7) x = 4 and y = -3/2.

8) x = -5/3 and y = 6

9) x = -1 and y = 0