Question

Find the values of x and y in the following equation.

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

Answer 1

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

Answer 2

(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.