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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
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
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
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Two lines represented by the equations y x 1 and y x2 3 intersect at p
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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
