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masya89 [10]
3 years ago
13

Find the complex number to solve the equation: 9(2-4i) - 6(x+yi) = 14-3i

Mathematics
1 answer:
tester [92]3 years ago
4 0
9(2-4i)-6(x+yi)=14-3i\\
18-36i-6x-6yi=14-3i\\
-6x-6yi=-4+33i\\
-6x=-4 \wedge -6y=33\\
x=\dfrac{4}{6} \wedge y=-\dfrac{33}{6}\\
x=\dfrac{2}{3} \wedge y=-\dfrac{11}{2}\\\\
\boxed{x+yi=\dfrac{2}{3}-\dfrac{11}{2}i}
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