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2x-3y=7

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Carcass
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2x-3y=7 [#permalink] New post   13 Aug 2020, 01:21
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\(2x-3y=7\)


Quantity A
Quantity B
\( 4x^2-12xy+9y^2+18\)
\(70 \)



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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Re: 2x-3y=7 [#permalink] New post   15 Aug 2020, 21:42
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I tried long division, only to be disappointed. The only way I solved it was to sub my own numbers into the smaller equation. It didn't take long to find the equation worked if x = 5 and y = 1: 2(5) - 3(1) = 7. From there, it's just a matter of plugging into the longer expression:

4(25) - 12(5) + 9(1) + 18 = 100 - 60 + 27 = 67. The answer is B.

Carcass wrote:
\(2x-3y=7\)


Quantity A
Quantity B
\( 4x^2-12xy+9y^2+18\)
\(70 \)



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

KUDOS for the right solution and explanation
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Nirmal524
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Re: 2x-3y=7 [#permalink] New post   15 Aug 2020, 21:53
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4x^2-12xy+9y^2+18 can be written as (2X-3y)^2 + 18 which is nothing but 7^2 + 18 = 49+18 = 67 which is less than 70.
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Re: 2x-3y=7 [#permalink] New post   16 Aug 2024, 07:23
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: 2x-3y=7 [#permalink]
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