Question

Find the values of a and b that make each equation true.

1) 3 – 36i = 9a + 4bi
2) a – 15i = -7 – (2b-3)i

Answer 1

Explanation:

1) 3 – 36i = 9a + 4bi

3 = 9a => a = 3/9 = ⅓

-36 = 4b => b = -36/4 = -9

2) a – 15i = -7 – (2b-3)i

a = -7

-15 = -(2b-3)

2b-3 = 15

2b = 18

b = 18/2= 9