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

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

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

(9 - 7 i) - 7 = x - (7 + y i)

x = 9, y = 7

Solution steps

(9 - 7 i) - 7 = x - (7 + y i)

Rewrite

(9 - 7 i) - 7

in standard complex form:

2 - 7 i

2 - 7 i = x - (7 + y i)

Rewrite

x - (7 + y i)

in standard complex form:

(x - 7) - y i

2 - 7 i = (x - 7) - y i

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

[2 = x - 7 - 7 = - y]

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

x = 9, y = 7

(x + i y) + 2 (x - i y) = \frac{2 i}{1 + 2 i}

\frac{z}{z + i} = 4

i (x - i y) = - i (x - i y)

(1 + i) z^{2} + (2 - i) z + (1 + 3 i) = 0

z^{2} = 49 + i

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