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 and y that satisfy the equation.−10x+12i=20+3yix= and y=
Solution
To solve for and , we can equate the real and imaginary parts of the complex numbers on both sides of the equation.
The equation given is .
Equating the real parts, we get: . Solving for , we get .
Equating the imaginary parts, we get: . Solving for , we get .
So, the solution to the equation is and .
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