Question

Find a and b for equation (1/3+i) + (1/a+bi) = 3/5

Answer 1

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3x−(a−1)y=2b−1.(1)

5x+(1−2a)y=3b..(2)

Here a1=3,b1=−(a+1) and c1=2b−1

Or a2=5,b2=(1−2a) and c2=3b

Give the system of equations have infinite solutions

a2a1=b2b1=c2c1

53=(1−2a)−(a+1)

⇒−5(a+1)=3(1−2a)

⇒−5a−5=3−6a

⇒a=8

53=3b2b−1

⇒9b=10b−5

⇒b=5