This is for my math analysis class, and I can't quite figure out how to do it!
Find the value of a and b if (a-2)+3bi=7+6i
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Make the real component on the left side equal to the real component on the right.
Make the imaginary component on the left side equal to the imaginary component on the right.
Plug them and get
(a-2) + (3b)i = (7) + (6)i
The left real part = the right real part: a - 2 = 7, a = 9
The left imaginary part = the right imaginary part: 3b = 6, b = 2