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If 4x−3y=10 and 7x−8y=34 , what is the value x−y ?

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If 4x−3y=10 and 7x−8y=34 , what is the value x−y ?  [#permalink]

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New post 01 Mar 2017, 05:41
2
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (01:57) correct 21% (02:27) wrong based on 134 sessions

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Re: If 4x−3y=10 and 7x−8y=34 , what is the value x−y ?  [#permalink]

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New post 01 Mar 2017, 05:50
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Bunuel wrote:
If 4x−3y=10 and 7x−8y=34, what is the value x−y?

A. 2
B. 4
C. 6
D. 8
E. 12


Nice question!

The long approach is to solve the system for the INDIVIDUAL values of x and y and then use those values to determine the value of x-y.

The quick approach is to ADD the two equations (4x−3y=10 and 7x−8y=34) to get: 11x - 11y = 44
Then divide both sides by 11 to get: x - y = 4

Answer: B

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Re: If 4x−3y=10 and 7x−8y=34 , what is the value x−y ?  [#permalink]

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New post 01 Mar 2017, 11:44
Bunuel wrote:
If 4x−3y=10 and 7x−8y=34, what is the value x−y?

A. 2
B. 4
C. 6
D. 8
E. 12


\(4x − 3y = 10 ---------------> (I)\)
\(7x − 8y = 34 ---------------> (II)\)

Add (I) and (II)

\(11x − 11y = 44\)

Or, \(x − y = 4\)

Thus, answer must be (B) 4
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Re: If 4x−3y=10 and 7x−8y=34 , what is the value x−y ?  [#permalink]

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New post 02 Mar 2017, 18:40
1
1
Bunuel wrote:
If 4x−3y=10 and 7x−8y=34, what is the value x−y?

A. 2
B. 4
C. 6
D. 8
E. 12


Adding the two equations together, we have:

4x - 3y = 10

7x - 8y = 34

11x - 11y = 44

Dividing both sides by 11, we have:

x - y = 4

Answer: B
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Re: If 4x−3y=10 and 7x−8y=34 , what is the value x−y ?  [#permalink]

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New post 05 Apr 2019, 04:06
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Re: If 4x−3y=10 and 7x−8y=34 , what is the value x−y ?   [#permalink] 05 Apr 2019, 04:06
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