Please answer the complex system

Step-by-step explanation:

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Make the subject for   :

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Add 2y to both sides:  

Divide both sides by i:

To remove i from the denominator, multiply the numerator and denominator by its complex conjugate:

Apply the imaginary number rule   :

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Substitute    into    and make y the subject:

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Apply complex arithmetic rule :

Simplify:

Factor:

Divide both sides by :

Multiply by the complex conjugate to remove from the denominator :

Apply complex arithmetic rule  to numerator:

Apply complex arithmetic rule   to the denominator :

Therefore, one solution is

For the other solution, substitute    into  :

Apply the imaginary number rule   :

Therefore, the second solution is

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)