find real numbers x and y such that 3x+2iy-ix+5y=7+5i
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(3x−7)+2iy=−5y+(5+x)i
For two complex numbers to be equation
Real parts of true numbers should be equal Imaginary parts should also be equal
3x−7=−5y
2y=5+x=7y=2(5+x)
3x−7=x−5(5+x)
6x−14=−25−5x=7x=−11
∴x=−1,y=(25+x)=25−1=2
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