Question

find the real number x and y satisfying the following equation x-yi = 1/2 - 5i​

Answer 1

Explanation:

we have

(1+i)(x+iy)=2−5i

x+iy+ix−y=2−5i

we have

x−y=2

x+y=−5

Adding (1) and (2) will give

2x=−3⇒x= -3/2

put x= −3 /2 in (i) we have

−3/2 −y=2⇒y= -3/2 -2

y= -7/2

Hence x= -3/2 and y= −7/ 2

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