Find the values of $x$x​ and $y$y​ that satisfy the equation.$-10x+12i=20+3yi$−10x+12i=20+3yi​$x=$x=​   and  $y=$y=​

Question

Find the values of $x$x​ and $y$y​ that satisfy the equation.$-10x+12i=20+3yi$−10x+12i=20+3yi​$x=$x=​   and  $y=$y=​
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Solution 1

To solve for $x$ and $y$, we can equate the real and imaginary parts of the complex numbers on both sides of the equation.

The equation given is $-10x + 12i = 20 + 3yi$.

Equating the real parts, we get: $-10x = 20$. Solving for $x$, we get $x = -2$.

Equating the imaginary parts, we get: $12 = 3y$ Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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

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