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Two lines represented by the equations y x 1 and y x2 3 intersect at p
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19 Feb 2021, 03:38
19 Feb 2021, 03:38
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Two lines represented by the equations \(y=x+1\) and \(y=2x+3\) intersect at point P. What are the coordinates of P?
(–2, –1)
(–1, 2)
(1, –2)
(2, –1)
(1, 2)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
_________________
(–2, –1)
(–1, 2)
(1, –2)
(2, –1)
(1, 2)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
_________________
Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Location: India
WE:Education (Education)
Re: Two lines represented by the equations y x 1 and y x2 3 intersect at p
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19 Feb 2021, 05:23
19 Feb 2021, 05:23
1
Carcass wrote:
Two lines represented by the equations \(y=x+1\) and \(y=2x+3\) intersect at point P. What are the coordinates of P?
(–2, –1)
(–1, 2)
(1, –2)
(2, –1)
(1, 2)
(–2, –1)
(–1, 2)
(1, –2)
(2, –1)
(1, 2)
To find the coordinates of point \(P (x, y)\), equate \(y\) or \(x\) of both the equations;
\(x + 1 = 2x + 3\)
\(x = -2\)
So, \(P = (-2, y)\)
Only one option has a x-coordinate to -2
Hence, option A
_________________
I hope this helps!
Regards:
Karun Mendiratta
Founder and Quant Trainer
Prepster Education, Delhi, India
https://www.instagram.com/prepster_education/
Regards:
Karun Mendiratta
Founder and Quant Trainer
Prepster Education, Delhi, India
https://www.instagram.com/prepster_education/
Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Location: India
WE:Education (Education)
Two lines represented by the equations y x 1 and y x2 3 intersect at p
[#permalink]
19 Feb 2021, 05:24
19 Feb 2021, 05:24
1
KarunMendiratta wrote:
Carcass wrote:
Two lines represented by the equations \(y=x+1\) and \(y=2x+3\) intersect at point P. What are the coordinates of P?
(–2, –1)
(–1, 2)
(1, –2)
(2, –1)
(1, 2)
(–2, –1)
(–1, 2)
(1, –2)
(2, –1)
(1, 2)
To find the coordinates of point \(P (x, y)\), equate \(y\) or \(x\) of both the equations;
\(x + 1 = 2x + 3\)
\(x = -2\)
So, \(P = (-2, y)\)
Only one option has a x-coordinate as -2
Hence, option A
_________________
I hope this helps!
Regards:
Karun Mendiratta
Founder and Quant Trainer
Prepster Education, Delhi, India
https://www.instagram.com/prepster_education/
Regards:
Karun Mendiratta
Founder and Quant Trainer
Prepster Education, Delhi, India
https://www.instagram.com/prepster_education/
Two lines represented by the equations y x 1 and y x2 3 intersect at p
[#permalink]
22 Apr 2021, 17:13
22 Apr 2021, 17:13
1
Quickly sketch out on a coordinate system, it shows that clearly that the point of intersection is going to be in the negative X range, so eliminate C, D, E.
Next, can we get a positive integer for Y if we use a negative integer for X in the equation Y=X+1? No, so eliminate B.
Answer choice A is the only one left.
Next, can we get a positive integer for Y if we use a negative integer for X in the equation Y=X+1? No, so eliminate B.
Answer choice A is the only one left.
Re: Two lines represented by the equations y x 1 and y x2 3 intersect at p
[#permalink]
08 May 2023, 17:17
08 May 2023, 17:17
Hello from the GRE Prep Club BumpBot!
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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.
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