1.1 Solved Examples and Exercise 1.1

Example 2

If $(2x - 1) + (y + 4)i = 5 + 7i$, then find the values of $x$ and $y$.

Solution

Given that $(2x - 1) + (y + 4)i = 5 + 7i$

Since the two complex numbers are equal, their real and imaginary parts must be equal.