Question

Given that x and y are real numbers find the possible values of x and y if (x+y)+(x-y)i=7+3i

Answer 1

(x+y)+(x-y)i=7+3i

x+y =7

x-y =3

add these two equations together

x+y =7

x-y =3

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2x = 10

divide by 2

x=5

x+y = 7

5+y =7

subtract 5 from each side

y =2

Answer: x=5

y=2