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Find the values of $x$x​ and $y$y​ that satisfy the equation.$54-\frac{1}{7}yi=9x-4i$54−17​yi=9x−4i​$x=$x=​  6−iy63​+4i9​ and  $y=$y=​  63xi+28−378i

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Find the values of $x$x​ and $y$y​ that satisfy the equation.$54-\frac{1}{7}yi=9x-4i$54−17​yi=9x−4i​$x=$x=​  6−iy63​+4i9​ and  $y=$y=​  63xi+28−378i
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Solution 1

The given equation is 5417yi=9x4i54-\frac{1}{7}yi=9x-4i.

First, we can separate the real and imaginary parts of the equation:

Real part: 54=9x54 = 9x, Imaginary part: 17y=4-\frac{1}{7}y = -4.

Solving these equations gives:

For the real part: x=549=6x = \frac{54}{9} = 6.

For the imaginary part: $y = \frac{1}{7} * 4 Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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