Question 266600
we are given
(i) {{{(x+iy)/(2-i)}}}
step 1 - multiply by the conjugate of (2-i) which is (2+i) to get
(ii) {{{((x+iy)(2+i))/((2-i)(2+i))}}}
and simplified, we get
(iii) {{{(2x + xi + 2iy - y)/5}}}
we then separate our real and imaginary parts to get
(iv) {{{(2x-y)/5}}} + {{{((x+2y)*i)/5}}}
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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.