How do you find the values of m and n that make the equation #(m+2n)+(2m-n)i=5+5i# true?

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Answer 1 · 2016-11-09T20:20:25

Please see the explanation for steps leading to the answer:

#m = 3, n = 1#

Write two equations:

#m + 2n = 5" [1]"#
#2m - n = 5" [2]"#

You can use a matrix but it is just as easy to multiply the second equation by 2 and add to the first:

#5m = 15#

#m = 3#

Substitute 3 for m in equation [1]:

#3 + 2n = 5#

#n = 1#