How do you solve #5-3i=2+9i#?

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Answer 1 · 2018-05-27T06:41:22

#i = 4#

As per the question, we have

#5 - 3i = 2 + 9i#

#:. 5 - 5 - 3i + 3i = 2 - 5 + 9i + 3i# ... [Adding #3i# and Subtracting #5# in both sides]

#:.cancel5 cancel-5 cancel-3i + cancel 3i = 2 - 5 + 9i + 3i#

#:. 0 = -3 + 12i#

#:. 3 = 12i#

#:. i = 12/3#

#:. i = 4#

Hence, the answer.