Find the values of $x$x​ and $y$y​ that satisfy the equation.$15-3yi=\frac{1}{2}x+2i$15−3yi=12​x+2i​$x=$x=​  −6yi+30−4i and  $y=$y=​

Question

Find the values of $x$x​ and $y$y​ that satisfy the equation.$15-3yi=\frac{1}{2}x+2i$15−3yi=12​x+2i​$x=$x=​  −6yi+30−4i and  $y=$y=​
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Solution 1

The given equation is $15-3yi=\frac{1}{2}x+2i$

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

Real part: $15 = \frac{1}{2}x$

Imaginary part: $-3y = 2$

Solving these two equations gives:

For the real part, multiply both sides by 2 to solve for x:

$2*15 = x$

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