Question

Find the real value of x and y if (3x-7)+2iy=-5y+(5+x)i

Answer 1

Two complex numbers are equal if both their real and imaginary parts are equal. 
In this case we have 3x - 7 = -5y and 2y = 5 + x. 

These are better written as 3x + 5y = 7 and x - 2y = -5. The second of these becomes 3x - 6y = -15, and so subtracting the 2 equations gives 11y = 22, and so y = 2. 

Replacing in either equation gives x = -1..

Answer 2

Answer :-

(3x-7)=-5y ...... (I)

as real no. In 2 complex no. are equal and 2 imaginary no. are equal

2y=5+x

x = -1

Putting value of x in equation I

3(-1) -7= -5y

-3-7= -5y

-10 = -5y

y = 2

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