document.write( "Question 266600: how to solve with Given that (x+iy)/(2-i) , find x and y. \n" ); document.write( "

Algebra.Com's Answer #195871 by drk(1908) $\"\"$ $\"About$

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we are given
\n" ); document.write( "(i) $\"%28x%2Biy%29%2F%282-i%29\"$
\n" ); document.write( "step 1 - multiply by the conjugate of (2-i) which is (2+i) to get
\n" ); document.write( "(ii) $\"%28%28x%2Biy%29%282%2Bi%29%29%2F%28%282-i%29%282%2Bi%29%29\"$
\n" ); document.write( "and simplified, we get
\n" ); document.write( "(iii) $\"%282x+%2B+xi+%2B+2iy+-+y%29%2F5\"$
\n" ); document.write( "we then separate our real and imaginary parts to get
\n" ); document.write( "(iv) $\"%282x-y%29%2F5\"$ + $\"%28%28x%2B2y%29%2Ai%29%2F5\"$
\n" ); document.write( "---
\n" ); document.write( "at this point there is no equal sign, so we can't solve for x and y, just rewrite using x and y in the real and imaginary parts. \n" ); document.write( "

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