How do I solve this type of problem?

Find the complex numberzsuch that (−5+i)z+(−4+i)zhttp://webwork.ucalgary.ca/webwork2_...144/char16.png=−2−i

the answer must be in the form z = ___ + ___i

Thanks in advance for any help!

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- Nov 21st 2009, 02:06 PMmelissa727Find the complex number z such that...
How do I solve this type of problem?

Find the complex number*z*such that (−5+*i*)*z*+(−4+*i*)*z**http://webwork.ucalgary.ca/webwork2_...144/char16.png*=−2−*i*

the answer must be in the form z = ___ + ___i

Thanks in advance for any help! - Nov 21st 2009, 02:32 PMPlato
- Nov 21st 2009, 02:47 PMmelissa727
That is almost the correct notation

except the second z has a bar over it

This is my first time on this site an I don't know how to make my notation like yours... or how to put a bar over my z - Nov 22nd 2009, 04:15 AMHallsofIvy
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.