Question

Find the values of x and y that satisfy the equation.

3x+6i=27+yi
x

Answer 1

x=9, y=6

Explanation:

Explanation:

we have

3x+6i=27+yi

Equate the Real Numbers

3x=27

solve for x

Divide by 3 both sides

x=27/3=9

Equate the Imaginary Numbers

6i=yi

Simplify

6=y

Rewrite

y=6

therefore

x=9, y=6

Answer 2

x = 9

y = 6

Explanation:

3x+6i=27+yi

The real components have to be equal and the imaginary components have to be equal

3x = 27

divide by 3

3x/3 = 27/3

x=9

6i = yi

Divide by i

6 = y