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

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

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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

OA=B

Source: Veritas Prep

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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

Cheers,
Brent

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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

OA=B

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

_________________

Scott Woodbury-Stewart
Founder and CEO
scott@targettestprep.com



See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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