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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]
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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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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]
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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 \(1- 3t= 2t - 1\) --> \(5t=2\) --> \(t=\frac{2}{5}\).

Answer: D.

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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]
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\(1- 3t = 2t - 1\)
\(2 = 5t\)
\(t = \frac{2}{5}\)

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

The answer is D.
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]
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x=y ==> so 1-3t = 2t-1 ==> t = 2/5
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]
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


Given:
1. x = 1- 3t
2. y = 2t - 1

Asked: For what value of t does x = y?

x = 1-3t = y = 2t -1
5t = 2
t = 2/5

IMO D
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]
x=y i.e 1-3t=2t-1 solving we get t=2/5
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Re: If x = 1- 3t and y = 2t - 1, then for what value of t does x [#permalink]
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