Solve:
$(x + i y) (2 - 3 i) = 4 + i$

x = (8 / 13), y = - (14 / 13) .

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x = (5 / 13), y = (14 / 13) .

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x = - (14 / 13), y = (5 / 13) .

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x = (14 / 13), y = - (8 / 13) .

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Solution

The correct option is B $x = (5 / 13), y = (14 / 13) .$
Given, $(x + i y) (2 - 3 i) = 4 + i$

$(2 x + 3 y) + i (- 3 x + 2 y) = 4 + i .$

Equating real and imaginary parts,

$2 x + 3 y = 4, - 3 x + 2 y = 1.$

Solving these, we get

$x = (\frac{5}{13}), y = (\frac{14}{13}) .$
Ans: B

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Solve:(x+iy)(2−3i)=4+i

The correct option is B x=(5/13),y=(14/13).Given, (x+iy)(2−3i)=4+i(2x+3y)+i(−3x+2y)=4+i.Equating real and imaginary parts,2x+3y=4,−3x+2y=1.Solving these, we getx=(513),y=(1413).Ans: B

Solve:
$(x + i y) (2 - 3 i) = 4 + i$

The correct option is B $x = (5 / 13), y = (14 / 13) .$
Given, $(x + i y) (2 - 3 i) = 4 + i$

$(2 x + 3 y) + i (- 3 x + 2 y) = 4 + i .$

Equating real and imaginary parts,

$2 x + 3 y = 4, - 3 x + 2 y = 1.$

Solving these, we get

$x = (\frac{5}{13}), y = (\frac{14}{13}) .$
Ans: B