What is the answer to ((x+yi))/i =(7+9i) ?

The answer to ((x+yi))/i =(7+9i) is x=-9,y=7

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((x+yi))/i =(7+9i)

\frac{( x + y i )}{i} = (7 + 9 i)

x = - 9, y = 7

Solution steps

\frac{( x + y i )}{i} = (7 + 9 i)

Multiply both sides by

i

\frac{x + y i}{i} i = (7 + 9 i) i

Simplify

x + i y = - 9 + 7 i

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[x = - 9 y = 7]

[x = - 9 y = 7] : x = - 9, y = 7

x = - 9, y = 7

\frac{4 m - 2 i}{3 + ni} = 6 - 2 i

(x^{2} + 6) + (2 x) i = 15 + 6 i

z^{2} - (1 + 6 i) z - 10 = 0

\frac{48 - 12 i}{x} = 16 - 4 i

y, (2 x - y) - 12 i = 12 + 6

What is the answer to ((x+yi))/i =(7+9i) ?
The answer to ((x+yi))/i =(7+9i) is x=-9,y=7