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If x = 5 – 4k and y = 5k – 3, then for what value of k d

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by M7MBA » Tue Apr 30, 2019 12:30 am
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If \(x = 5 – 4k\) and \(y = 5k – 3,\) then for what value of \(k\) does \(x = y?\)

(A) 0
(B) 8/9
(C) 9/8
(D) 2
(E) 8

[spoiler]OA=B[/spoiler]

Source: Veritas Prep
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by Brent@GMATPrepNow » Tue Apr 30, 2019 6:37 am
M7MBA wrote:If \(x = 5 – 4k\) and \(y = 5k – 3,\) then for what value of \(k\) does \(x = y?\)

(A) 0
(B) 8/9
(C) 9/8
(D) 2
(E) 8
We want: x = y
Replace values with their equivalents: 5 - 4k = 5k - 3
Add 4k to both sides: 5 = 9k - 3
Add 3 to both sides: 8 = 9k
Divide both sides by 9 to get: 8/9 = k

Answer: B

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by Scott@TargetTestPrep » Thu May 02, 2019 4:18 pm
M7MBA wrote:If \(x = 5 – 4k\) and \(y = 5k – 3,\) then for what value of \(k\) does \(x = y?\)

(A) 0
(B) 8/9
(C) 9/8
(D) 2
(E) 8

[spoiler]OA=B[/spoiler]

Source: Veritas Prep
Since we need to determine the value of k such that x = y, we can equate our two expressions, and we have:

5 - 4k = 5k - 3

8 = 9k

8/9 = k

Answer: B

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