Respuesta :

musiclover10045
(X+Yi)+(4+9i)=9-4i

The first step is removing the parenthesis:

X + Yi +4 + 9i = 9-4i 

No lets separate the like terms on both sides:

x +4 = 9
Yi +9i = -4i

We can now solve for X:  
x +4 = 9
Subtract 4 from each side:
x = 9-4
x = 5

Yi+9i = -4i

Subtract 9i from each side:
Yi = -4i-9i
Yi = -13i
Y = -13

X = 5, Y = -13.

Answer:

Step-by-step explanation:

(X+Yi)+(4+9i)=9-4i

subtract 4+9i from both sides

X + Yi = 9- 4i -(4+9i)

combine the like terms in the right side of the equation

X + Yi = 9-4 - 4i-9i

X + Yi  = 5 -13 i

Now we can compare the real part and imaginary part on both sides we get

X = 5

Y = -13

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