Split the equation up— set the real parts equal to each other, and the imaginary parts equal to each other.
x=2, y=- 3
Practice makes perfect
To find the values of x and y that make the given equation true, we need to set the real parts and the imaginary parts of each complex number equal to each other.
x+1+ 2yi= 3+( - 6)i
⇕
x+1= 3 and 2y= - 6
Now, we can solve these equations.