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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 xxx​ and yyy​ that satisfy the equation.4x+2i=8+yi4x+2i=8+yi4x+2i=8+yi​x=x=x=​   and  y=y=y=​

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Solution

To find the values of xx and yy that satisfy the equation 4x+2i=8+yi4x+2i=8+yi, we can equate the real and imaginary parts on both sides of the equation.

The real part of the equation is 4x=84x = 8 and the imaginary part of the equation is 2i=yi2i = yi.

Solving for xx in the real part of the equation gives x=8/4=2x = 8/4 = 2.

Solving for yy in the imaginary part of the equation gives y=2y = 2.

So, the values of xx and yy that satisfy the equation are x=2x = 2 and y=2y = 2.

This problem has been solved

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