How to solve complex number equations with a calculator?

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SUMMARY

The discussion focuses on solving a system of complex number equations represented by (1+i)x + (2+i)y - 5 = 0 and (3+2i)x + (4+i) - 10 = 0. Users reported difficulties using calculators such as the Casio fx-9750G, HP 50G, and TI-89 for this task. The recommended method involves solving for x in one equation, substituting it into the other, and equating real and imaginary parts to create a system of four equations. This approach eliminates the need for calculators and simplifies the problem-solving process.

PREREQUISITES
  • Understanding of complex numbers and their representation in the complex plane
  • Familiarity with algebraic manipulation and substitution methods
  • Knowledge of equating real and imaginary parts of complex equations
  • Basic skills in solving systems of equations
NEXT STEPS
  • Study methods for solving systems of equations involving complex numbers
  • Learn about equating real and imaginary components in complex equations
  • Explore manual calculation techniques for complex number operations
  • Investigate the limitations of graphing calculators for complex number solutions
USEFUL FOR

Mathematicians, engineering students, and anyone interested in solving complex number equations without relying on calculators.

ferroburak
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Let x,y be in the complex plane

Say,
(1+i)x+ (2+i)y -5 = 0
(3+2i)x + (4+i) -10 = 0

I couldn't solve such a system of equations with neither of casio fx-9750g, hp 50g and TI-89..

Any help would be appreciated. Thanks in advance.
 
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Put your calculators away. This is a fairly simple system of equations to solve by hand. One approach is to solve for x in one equation, and substitute the expression that x equals into the other equation.
 
i wouldn't use a calculator either. I would equate real and imaginary parts (remembering that eg 5 = 5+0i. so you should get a system of 4 equations to solve. 2 of which involve only the imaginary parts and the other two involves only the real
 

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