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The equations x + y = 10 and x + y = 15 have how many solutions (x, y)
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03 Mar 2022, 04:00
03 Mar 2022, 04:00
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Question Stats:
88% (00:23) correct
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The equations x + y = 10 and x + y = 15 have how many solutions (x, y) in common?
(A) None
(B) Exactly one
(C) Exactly two
(D) Exactly four
(E) More than four
(A) None
(B) Exactly one
(C) Exactly two
(D) Exactly four
(E) More than four
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Posts: 6218
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The equations x + y = 10 and x + y = 15 have how many solutions (x, y)
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03 Mar 2022, 06:15
03 Mar 2022, 06:15
2
Carcass wrote:
The equations x + y = 10 and x + y = 15 have how many solutions (x, y) in common?
(A) None
(B) Exactly one
(C) Exactly two
(D) Exactly four
(E) More than four
(A) None
(B) Exactly one
(C) Exactly two
(D) Exactly four
(E) More than four
APPROACH #1: Number sense
It's impossible to have a pair of values (for x and y) such that the SUM of those two values is simultaneously 10 AND 15.
As such, there can be no solution to the given system of equations.
Answer: A
APPROACH #2: Algebra
We're given the following system of equations:
x + y = 15
x + y = 10
If we subtract the bottom equation from the top equation we get: 0x + 0y = 5
This resulting equation obviously has no solutions
Answer: A
Re: The equations x + y = 10 and x + y = 15 have how many solutions (x, y)
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14 Feb 2024, 15:09
14 Feb 2024, 15:09
Hello from the GRE Prep Club BumpBot!
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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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).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
