Let's solve the following equation for x and y:
(x + yi) + (4 + 6i) = 7 - 2i
Solving parenthesis:
x + yi + 4 + 6i = 7 - 2i
Like terms:
x + yi = 7 - 4 - 2i - 6i
x + yi = 3 - 8i
x = 3 - 8i - yi
x = 3 - i(8 - y)
Now, let's solve for y:
x + yi = 7 - 4 - 2i - 6i
yi = 3 - 8i - x
Dividing by i at both sides:
yi/i = (3 - 8i - x)/i
y = (3 - 8i - x)/i
