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# If x = 1- 3t and y = 2t - 1, then for what value of t does x

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Math Expert
Joined: 02 Sep 2009
Posts: 33552
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If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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24 Sep 2012, 04:56
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88% (01:44) correct 12% (01:03) wrong based on 530 sessions

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If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

Practice Questions
Question: 47
Page: 158
Difficulty: 550
[Reveal] Spoiler: OA

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Math Expert
Joined: 02 Sep 2009
Posts: 33552
Followers: 5945

Kudos [?]: 73781 [1] , given: 9903

Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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24 Sep 2012, 04:57
1
KUDOS
Expert's post
SOLUTION

If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

Since $$x = y$$, then $$1- 3t= 2t - 1$$ --> $$5t=2$$ --> $$t=\frac{2}{5}$$.

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Director
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Schools: Harvard, Columbia, Stern, Booth, LSB,
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Kudos [?]: 593 [1] , given: 241

Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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24 Sep 2012, 05:18
1
KUDOS
1-3t = 2t-1
-> t= 2/5

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Kudos [?]: 44 [1] , given: 4

Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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24 Sep 2012, 08:45
1
KUDOS
Bunuel wrote:

If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

We are given expressing of x and y in terms of t.
Making both of these equal as x = y

1-3t=2t-1
=> 2 = 5t
=> t = 1/5

Hence D
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Math Expert
Joined: 02 Sep 2009
Posts: 33552
Followers: 5945

Kudos [?]: 73781 [0], given: 9903

Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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28 Sep 2012, 04:31
Expert's post
SOLUTION

If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

Since $$x = y$$, then $$1- 3t= 2t - 1$$ --> $$5t=2$$ --> $$t=\frac{2}{5}$$.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
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Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
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Kudos [?]: 360 [1] , given: 11

Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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10 Dec 2012, 04:19
1
KUDOS
$$1- 3t = 2t - 1$$
$$2 = 5t$$
$$t = \frac{2}{5}$$

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Impossible is nothing to God.

Intern
Joined: 23 Jul 2013
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GMAT Date: 01-17-2014
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Kudos [?]: 0 [0], given: 14

If x = 1-3t and y = 2t-1, then for what value of t does x=y [#permalink]

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13 Dec 2013, 01:28
A) 5/2
B) 3/2
C) 2/3
D) 2/5
E) 0
Math Expert
Joined: 02 Sep 2009
Posts: 33552
Followers: 5945

Kudos [?]: 73781 [1] , given: 9903

Re: If x = 1-3t and y = 2t-1, then for what value of t does x=y [#permalink]

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13 Dec 2013, 02:46
1
KUDOS
Expert's post
srinithin1 wrote:
A) 5/2
B) 3/2
C) 2/3
D) 2/5
E) 0

Merging similar topics. Please refer to the solutions above.

All OG13 questions are here: the-official-guide-quantitative-question-directory-143450.html
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Kudos [?]: 26 [0], given: 28

Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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13 Dec 2013, 11:17
since you are asked to solve for the value at which x = y , set the equations equal to each other and solve.

Your answer should be 2/5, you can plug it back into the original equations to double check if you're not certain.
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Kudos [?]: 19 [0], given: 81

Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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10 Sep 2014, 09:13
Bunuel wrote:
If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

Practice Questions
Question: 47
Page: 158
Difficulty: 550

equate x=y

1-3t=2t-1

5t=2

t=2/5
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Kudos [?]: 21 [0], given: 0

Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]

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30 May 2016, 05:17
Bunuel wrote:
If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

(A) 5/2
(B) 3/2
(C) 2/3
(D) 2/5
(E) 0

We are given x = 1 – 3t and y = 2t – 1, and we need to determine the value for t when x = y. We should notice that both x and y are already in terms of t. Thus, we can substitute 1 – 3t for x and 2t – 1 for y in the equation x = y. This gives us:

1 – 3t = 2t – 1

2 = 5t

2/5 = t

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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x   [#permalink] 30 May 2016, 05:17
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