Throughout this question the use of a calculator is not permitted. i. The complex numbers u and

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Throughout this question the use of a calculator is not permitted.
i. The complex numbers u and v satisfy the equations u + 2v = 2i and iu + v = 3.

Solve the equations for u and v, giving both answers in the form x + iy, where x and y are real.
ii. On an Argand diagram, sketch the locus representing complex numbers z satisfying |z + i|= 1

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