We need to find x and y from 3x - ix - 2y = 12 - iy -
i
3x - ix - 2y = 12 - iy -
i
=> 3x - 2y - ix = 12 - i(y +
1)
equate the real and the complex
coefficients.
3x - 2y = 12
x =
y + 1
substitute in 3x - 2y =
12
=> 3(y + 1) - 2y =
12
=> 3y + 3 - 2y =
12
=> y = 9
x = y +
1
=> x =
10
The required values are x = 10 and y =
9.
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