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505-555 (Easy)|   Algebra|      
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Bunuel
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If 4x−3y=10 and 7x−8y=34 , what is the value x−y ? 01 Mar 2017, 05:41
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B
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81% (01:49) correct 19% (02:46) wrong based on 381 sessions

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

A. 2
B. 4
C. 6
D. 8
E. 12
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B
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If 4x−3y=10 and 7x−8y=34 , what is the value x−y ? 01 Mar 2017, 05:50
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Bunuel
If 4x−3y=10 and 7x−8y=34, what is the value x−y?

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

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

A. 2
B. 4
C. 6
D. 8
E. 12
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\(4x − 3y = 10 ---------------> (I)\)
\(7x − 8y = 34 ---------------> (II)\)

Add (I) and (II)

\(11x − 11y = 44\)

Or, \(x − y = 4\)

Thus, answer must be (B) 4
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If 4x−3y=10 and 7x−8y=34 , what is the value x−y ? 02 Mar 2017, 18:40
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Bunuel
If 4x−3y=10 and 7x−8y=34, what is the value x−y?

A. 2
B. 4
C. 6
D. 8
E. 12
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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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If 4x−3y=10 and 7x−8y=34 , what is the value x−y ? 08 Sep 2020, 10:32
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Bunuel
If 4x−3y=10 and 7x−8y=34, what is the value x−y?

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

If we add the two given equations, we have:

11x - 11y = 44

Dividing this equation by 11, we have:

x - y = 4

Answer: B
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If 4x−3y=10 and 7x−8y=34 , what is the value x−y ? 08 Sep 2020, 10:34
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Solution:

If we add the two given equations, we have:

11x - 11y = 44

Dividing this equation by 11, we have:

x - y = 4

Answer: B
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If 4x−3y=10 and 7x−8y=34 , what is the value x−y ? 08 Sep 2020, 11:44
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Asked: If 4x−3y=10 and 7x−8y=34, what is the value x−y?
Adding the 2 equations: -
11x - 11y = 44
x - y = 4

IMO B
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If 4x−3y=10 and 7x−8y=34 , what is the value x−y ? 08 Sep 2022, 21:01
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Given that 4x−3y=10 and 7x−8y=34 and we need to find the value x−y

4x − 3y = 10
7x − 8y = 34

Adding both of them we get
4x − 3y + 7x − 8y = 10 + 34 = 44
=> 4x + 7x - 3y - 8y = 44
=> 11x - 11y = 44
=> 11*(x-y) = 11*4

Dividing both the sides by 11 we get
x - y = 4

So, Answer will be B
Hope it helps!
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