Find the values of $x$x and $y$y that satisfy the equation.$4x+2i=8+yi$4x+2i=8+yi$x=$x= and $y=$y=
Question
Find the values of x and y that satisfy the equation.4x+2i=8+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.
The real part of the equation is and the imaginary part of the equation is .
Solving for in the real part of the equation gives .
Solving for in the imaginary part of the equation gives .
So, the values of and that satisfy the equation are and .
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