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OpenStudy (anonymous):
Find real number a and b such that : (3+2i)a+(4+5i)b=18+19i.
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OpenStudy (anonymous):
\((3+2i)a+(4+5i)b=(3a+4b)+(2a+5b)i=18+19i\) \( \iff 3a+4b=18 \text{ and } 2a+5b=19.\)
OpenStudy (anonymous):
Solve the two equations to get a and b.
OpenStudy (anonymous):
a=2 , b=3.
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