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2x-3y=7
[#permalink]
13 Aug 2020, 01:21
13 Aug 2020, 01:21
Expert Reply
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Question Stats:
85% (00:59) correct
14% (01:36) wrong based on 104 sessions
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\(2x-3y=7\)
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
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
Re: 2x-3y=7
[#permalink]
15 Aug 2020, 21:42
15 Aug 2020, 21:42
1
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.
4(25) - 12(5) + 9(1) + 18 = 100 - 60 + 27 = 67. The answer is B.
Carcass wrote:
\(2x-3y=7\)
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
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
Re: 2x-3y=7
[#permalink]
15 Aug 2020, 21:53
15 Aug 2020, 21:53
2
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.
