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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
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What is the intersectiοn pοint οf the lines defined by the equatiοns 2
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17 Mar 2021, 05:00
17 Mar 2021, 05:00
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What is the intersectiοn pοint οf the lines defined by the equatiοns 2x + y = 7 and 3x − 2y = 21?
A. (5, −3)
B. (-5, 3)
C. (5, 3)
D. (-5, -3)
E. (4, 5)
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Re: What is the intersectiοn pοint οf the lines defined by the equatiοns 2
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17 Mar 2021, 07:56
17 Mar 2021, 07:56
1
GeminiHeat wrote:
Attachment:
1.jpg
What is the intersectiοn pοint οf the lines defined by the equatiοns 2x + y = 7 and 3x − 2y = 21?
A. (5, −3)
B. (-5, 3)
C. (5, 3)
D. (-5, -3)
E. (4, 5)
To find the point of intersection, equate the \(x\) or \(y\) in both the equations
\(7 - 2x = \frac{(3x - 21)}{2}\)
\(14 - 4x = 3x - 21\)
\(7x = 35\)
\(x = 5\)
So, \(y = 7 - 2(5) = -3\)
Hence, option A
What is the use of the graph, I don't get it though!
Re: What is the intersectin pint f the lines defined by the equatins 2
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11 Dec 2023, 08:39
11 Dec 2023, 08:39
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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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