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15x+6y=31
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19 Aug 2020, 11:11
19 Aug 2020, 11:11
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Question Stats:
90% (02:10) correct
9% (05:53) wrong based on 22 sessions
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\(15x+6y=31\)
\(6x+24y=17\)
If \(x\) and \(y\) satisfy the system of equations given above, what is the value of \(x-2y\)?
A. 9/14
B. 14/9
C. 7
D. 10
E. 14
Kudos for the right solution and explanation
\(6x+24y=17\)
If \(x\) and \(y\) satisfy the system of equations given above, what is the value of \(x-2y\)?
A. 9/14
B. 14/9
C. 7
D. 10
E. 14
Kudos for the right solution and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 15x+6y=31
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19 Aug 2020, 13:53
19 Aug 2020, 13:53
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Carcass wrote:
\(15x+6y=31\)
\(6x+24y=17\)
If \(x\) and \(y\) satisfy the system of equations given above, what is the value of \(x-2y\)?
A. 9/14
B. 14/9
C. 7
D. 10
E. 14
Kudos for the right solution and explanation
\(6x+24y=17\)
If \(x\) and \(y\) satisfy the system of equations given above, what is the value of \(x-2y\)?
A. 9/14
B. 14/9
C. 7
D. 10
E. 14
Kudos for the right solution and explanation
Great question!!!
Given:
\(15x+6y=31\)
\(6x+24y=17\)
Subtract the bottom equation from the top equation to get: \((15x+6y)-(6x+24y=17)=31-17\)
Simplify: \(9x-18y=14\)
Factor the left side to get: \(9(x-2y)=14\)
Aha!! Divide both sides by \(9\) to get: \(x-2y=\frac{14}{9}\)
Answer: B
Cheers,
Brent
Re: 15x+6y=31
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13 Feb 2024, 13:39
13 Feb 2024, 13:39
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
