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QUESTION IMAGE

find the values of x and y that satisfy the equation. 3x + 6i = 27 + yi…

Question

find the values of x and y that satisfy the equation. 3x + 6i = 27 + yi x = \square and y = \square

Explanation:

Step1: Equate real parts

$3x = 27$

Step2: Solve for x

$x = \frac{27}{3} = 9$

Step3: Equate imaginary parts

$6i = yi$

Step4: Solve for y

$y = 6$

Answer:

$x = 9$ and $y = 6$