How do I solve this type of problem?
Find the complex number z such that (−5+i)z+(−4+i)z=−2−i
the answer must be in the form z = ___ + ___i
Thanks in advance for any help!
To see the code for LaTex, just click on the LaTex itself.
For example, to see the code for $\displaystyle (-5+ i)z+ (-4+ i)\overline{z}= -2- i$, click on that formula.
To solve the problem write z as a+ bi so that $\displaystyle \overline{z}= a- bi$. Replace z and $\displaystyle \overline{z}$ by those in the equation and do the arithmetic. Setting the real part on the left equal to the real part on the right and the imaginary part on the left equal to the imaginary part on the right will give you two equations to solve for a and b.