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

The values of x and y that satisfy the equation 3x+6i=27+yi are 9 and 6 respectively

Given the expression

3x+6i=27+yi

In order to get the value of x and y, we will equate the real and imaginary parts of the expression as shown:

For the real part:

3x = 27

Divide both sides by 3

3x/3 = 27/3

x = 9

For the imaginary part:

6i = yi

6 = y

Swap

y = 6

Hence the values of x and y that satisfy the equation 3x+6i=27+yi are 9 and 6 respectively.

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x=9, y=6

Step-by-step explanation:

we have

Equate the Real Numbers

solve for x

Divide by 3 both sides

Equate the  Imaginary Numbers

Simplify

Rewrite

therefore

x=9, y=6

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step-by-step explanation: