<span>(X+Yi)+(4+9i)=9-4i
The first step is removing the parenthesis:
X + Yi +4 + 9i = 9-4i
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No lets separate the like terms on both sides:
x +4 = 9
Yi +9i = -4i
We can now solve for X:
x +4 = 9
Subtract 4 from each side:
x = 9-4
x = 5
Yi+9i = -4i
Subtract 9i from each side:
Yi = -4i-9i
Yi = -13i
Y = -13
X = 5, Y = -13.
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For k there are 2 answers to this and they are -3 and -9
That is given by Lowest Common Miltiple of 2 and 5 which is 10
So they will meet on the tenth day . ( every tenth day)