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Find the values of $x$x​ and $y$y​ that satisfy the equation.$2x-yi=14+12i$2x−yi=14+12i​$x=$x=​   and  $y=$y=​

Question

Find the values of xxx​ and yyy​ that satisfy the equation.2xyi=14+12i2x-yi=14+12i2x−yi=14+12i​x=x=x=​   and  y=y=y=​

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Solution

The given equation is 2xyi=14+12i2x-yi=14+12i.

This is a complex equation, and we can equate the real parts and the imaginary parts separately.

Equating the real parts, we get: 2x = 14 => x = 14/2 => x = 7

Equating the imaginary parts, we get: -y = 12 => y = -12

So, the solutions are x = 7 and y = -12.

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