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Which of the following points is the intersection between the lines y

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Which of the following points is the intersection between the lines y  [#permalink]

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New post 29 Apr 2017, 09:26
2
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A
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C
D
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Difficulty:

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Question Stats:

85% (00:47) correct 15% (01:03) wrong based on 100 sessions

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Which of the following points is the intersection between the lines y = 3x + 6 and y = −2x − 4 ?

A. (2,0)
B. (0,−2)
C. (−2,0)
D. (0,2)
E. (1,5)

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Re: Which of the following points is the intersection between the lines y  [#permalink]

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New post 29 Apr 2017, 09:31
Solving equations,
5x = -10
x=-2.
Using this value of x in either equations, we get y=0
Hence point of intersection is (-2,0) (Option C)


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Re: Which of the following points is the intersection between the lines y  [#permalink]

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New post 29 Apr 2017, 14:43
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SajjadAhmad wrote:
Which of the following points is the intersection between the lines y = 3x + 6 and y = −2x − 4 ?

A. (2,0)
B. (0,−2)
C. (−2,0)
D. (0,2)
E. (1,5)


Solving simultaneous equations:
3x+6 = -2x -4
5x = -10, x = -2 and y = 0

Correction Option: C
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Re: Which of the following points is the intersection between the lines y  [#permalink]

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New post 30 Apr 2017, 07:25
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SajjadAhmad wrote:
Which of the following points is the intersection between the lines y = 3x + 6 and y = −2x − 4 ?

A. (2,0)
B. (0,−2)
C. (−2,0)
D. (0,2)
E. (1,5)


The above approaches are all correct/valid, but I'll point out that, once we determine that x = -2, we need not actually calculate the y-value, since only one answer choice has an x-coordinate of -2

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Re: Which of the following points is the intersection between the lines y  [#permalink]

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New post 30 Sep 2018, 20:04
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Hi All,

We're asked which of the following points is the intersection between the lines y = 3x + 6 and y = -2x - 4. This question can be solved in a number of different ways. Sometimes, the fastest way to answer a question is to use 'brute force'; the five answers are co-ordinates and we know that one of them will 'fit' both equations, so we just have to do enough work to prove which one fits (and that one will be the correct answer).

Answer A. (2, 0) --> fits the first equation, does NOT fit the second equation
Answer B. (0, -2) -->does NOT fit either equation
Answer C. (-2,0) --> fits BOTH equations

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Re: Which of the following points is the intersection between the lines y &nbs [#permalink] 30 Sep 2018, 20:04
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