Answer:
x = - 12, y = - 9
Explanation:
Given
- 4 + 3i - x + yi = 8 - 6i
Simplify left side by collecting like terms and equate like coefficients with the terms on the right side, that is
- 4 - x + i(3 + y) = 8 - 6i, thus
3 + y = - 6 ( subtract 3 from both sides ) ← equating imaginary parts
y = - 9, then
- 4 - x = 8 ( add 4 from both sides ) ← equating real parts
- x = 12 ( multiply both sides by - 1 )
x = - 12