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]
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If x = 5 – 4k and y = 5k – 3, then for what value of k d
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Brent@GMATPrepNow
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We want: x = yM7MBA 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
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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Brent
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Scott@TargetTestPrep
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Since we need to determine the value of k such that x = y, we can equate our two expressions, and we have: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
5 - 4k = 5k - 3
8 = 9k
8/9 = k
Answer: B
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