Solve the following complex equation 18+22i=3x-2yi

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Todd Knarr asked Oct 6, 2022

80,446 views

40 votes

Solve the following complex equation

18+22i=3x-2yi

Mathematics
high-school

Todd Knarr asked Oct 6, 2022

by Todd Knarr

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1 Answer

16 votes

Answer:

$this \: a \: complex \: equation \: so \: compare \\ \: real \: term \: and \: imaginary \: term \\ so \\ 18 = 3x \: \: and \: 22i = - 2yi \\ x = (18)/(3) \: \: \: \: and \: y = (22i)/( - 2i) \\ x = 6 \: \: \: y = - 11 \\ then \: 6 * 3 - - 2 * 11i \\ = 18 + 22i \\ thank \: you$