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If x² - 9 = 0, x² + xy - 18 = 0 nd x nd y r bth psitiv intgrs

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Carcass
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If x² - 9 = 0, x² + xy - 18 = 0 nd x nd y r bth psitiv intgrs [#permalink] New post   Updated on: 12 May 2024, 09:56
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If x² - 9 = 0, x² + xy - 18 = 0 аnd x аnd y аrе bоth pоsitivе intеgеrs, whаt аrе thе vаluеs оf x аnd y?

A, x = 2, y = 1

B. x = 3, y = 1

C. x = 1, y = 3

D. x = 1, y = 2

E. x = 3, y = 3


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E

Originally posted by Carcass on 29 Mar 2024, 10:54.
Last edited by Carcass on 12 May 2024, 09:56, edited 1 time in total.
Fixed OA
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steveharvi
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Re: If x² - 9 = 0, x² + xy - 18 = 0 nd x nd y r bth psitiv intgrs [#permalink] New post   31 Mar 2024, 22:18
from the 1st equation, x^2 is 9, meaning x is either 3 or -3, from the 2nd equation since x^2 is 9, xy would be 9, y should be 3 or a -3 (x is either 3 or -3) . Option "E" only satisfies this, is this the correct way to approach this??
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Re: If x² - 9 = 0, x² + xy - 18 = 0 nd x nd y r bth psitiv intgrs [#permalink] New post   12 May 2024, 08:18
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steveharvi wrote:
from the 1st equation, x^2 is 9, meaning x is either 3 or -3, from the 2nd equation since x^2 is 9, xy would be 9, y should be 3 or a -3 (x is either 3 or -3) . Option "E" only satisfies this, is this the correct way to approach this??


Carcass I agree, the correct answer is actually E, not B.
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Re: If x² - 9 = 0, x² + xy - 18 = 0 nd x nd y r bth psitiv intgrs [#permalink] New post   12 May 2024, 09:57
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nurirachel wrote:
steveharvi wrote:
from the 1st equation, x^2 is 9, meaning x is either 3 or -3, from the 2nd equation since x^2 is 9, xy would be 9, y should be 3 or a -3 (x is either 3 or -3) . Option "E" only satisfies this, is this the correct way to approach this??


Carcass I agree, the correct answer is actually E, not B.


Yes, I fixed it in the first post

Yes it is E
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raheemzada723
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Re: If x2 - 9 = 0, x2 + xy - 18 = 0 nd x nd y r bth psitiv intgrs [#permalink] New post   03 Nov 2024, 01:01
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x^2 - 9=0 =.> x^2 = 9=>x=3 now the second equation implies that x^2+xy-18=0 => (3)^2 +3y-18= => 9-18+3y=0=>3y=9=>y=3 so by solving we obtain x=3 and y=3 which is option E
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Re: If x2 - 9 = 0, x2 + xy - 18 = 0 nd x nd y r bth psitiv intgrs [#permalink]
03 Nov 2024, 01:01
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