What is the answer to (2x+12y)+(x+y)i=6-2i ?

The answer to (2x+12y)+(x+y)i=6-2i is x=-3,y=1

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

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

x = - 3, y = 1

Solution steps

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

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

[2 x + 12 y = 6 x + y = - 2]

[2 x + 12 y = 6 x + y = - 2] : x = - 3, y = 1

x = - 3, y = 1

(a - 2 bi) - (b - ai) = 2 + i

a + bi = i

(a + 2 i) (b - i) = 3 + i

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

x + i y = (3 x + 4 i) (1 + x - i y)

What is the answer to (2x+12y)+(x+y)i=6-2i ?
The answer to (2x+12y)+(x+y)i=6-2i is x=-3,y=1