Find the values of $x$x and $y$y that satisfy the equation.$3x+6i=27+yi$3x+6i=27+yi$x=$x= and $y=$y=
Question
Find the values of x and y that satisfy the equation.3x+6i=27+yix= and y=
Solution
To find the values of and that satisfy the equation , we can equate the real and imaginary parts on both sides of the equation.
Step 1: Equate the real parts The real part on the left side is and on the right side is . So, we have: Dividing both sides by 3, we get:
Step 2: Equate the imaginary parts The imaginary part on the left side is and on the right side is . So, we have: Dividing both sides by , we get:
So, the values of and that satisfy the equation are and .
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