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Question

Solve 3x2 - 5y3 = -2; x2 + y2 = 136


A

x=11754, y=9457

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B

x=9457, y=5119

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C

x=5119, y=9457

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D

y=11754, x=9457

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Solution

The correct option is B

x=9457, y=5119


3x2 - 5y3 = -2

Multiply by 6 on both sides

9x - 10y = -12 -------------(1)

x2 + y2 = 136

Multiply by 6 on both sides

3x + 3y = 13 --------------(2)

(1) ⇒ x= 10y129............(3)

Substituting equation (3) in equation (2)

3[10y129] + 3y = 13

10y - 12 + 9y = 39

19y = 51

y = 5119

x = 10[5119]129 = 28219×9 = 943×19 = 9457


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