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Find the real values of $\mathit{x}$ and $\mathit{y}$ for which the following equation: $\left ( 1-\mathit{i} \right )\mathit{x} + \left ( 1+\mathit{i} \right )\mathit{y} = 1-3\mathit{i}$

This is the first part of the multi-part question Q4.
Can you answer this question?

1 Answer

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  • If $a+ib=c+id$ then $a=c$ and $b=d$
  • (i.e) if $z_1=z_2$,then $Re(z_1)=Re(z_2),Im(z_1)=Im(z_2)$
Step 1:
Separating the real and imaginary parts of LHS
Equating the real and imaginary parts,
Step 2:
On adding the above two equations we get
Substitute the value of $y$ in equ(1) we get
answered Jun 7, 2013 by sreemathi.v

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