For what value(s) of k is the following equation satisfied: 2k-9-k = 4k+6-3k
a. -5
b. 0 only
c. 5/2 only
d. No value
e. Any value
The OA is D.
Can any expert explain this PS question please? Thanks.
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BTGmoderatorLU
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Hi LUANDATO,
One of the basic algebraic 'steps' that you'll have to go through on several Quant questions on Test Day is "combine like terms"; here we can combine like terms on each side of the given equation:
2K - 9 - K = 4K+ 6 - 3K
K - 9 = K + 6
As it stands, there is NO solution to this equation - going through one more step would give us:
0 = 15
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
One of the basic algebraic 'steps' that you'll have to go through on several Quant questions on Test Day is "combine like terms"; here we can combine like terms on each side of the given equation:
2K - 9 - K = 4K+ 6 - 3K
K - 9 = K + 6
As it stands, there is NO solution to this equation - going through one more step would give us:
0 = 15
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
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EconomistGMATTutor
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Hi LUANDATO,For what value(s) of k is the following equation satisfied: 2k-9-k = 4k+6-3k
a. -5
b. 0 only
c. 5/2 only
d. No value
e. Any value
The OA is D.
Can any expert explain this PS question please? Thanks.
Let's take a look at your question.
$$2k-9-k=4k+6-3k$$
$$2k-k+9=4k-3k+6$$
$$k+9=k+6$$
$$k+9-k=6$$
$$k-k=6+9$$
$$0=15$$
Which means, k has no value.
Therefore, option D is correct.
Hope it helps.
I am available if you'd like any follow up.
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Scott@TargetTestPrep
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Simplifying, we have:BTGmoderatorLU wrote:For what value(s) of k is the following equation satisfied: 2k-9-k = 4k+6-3k
a. -5
b. 0 only
c. 5/2 only
d. No value
e. Any value
The OA is D.
Can any expert explain this PS question please? Thanks.
2k - 9 - k = 4k + 6 - 3k
k - 9 = k + 6
We see that there are no values of k for which k - 9 = k + 6.
Answer: D
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