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

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

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

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

Solution:

If we add the two given equations, we have:

11x - 11y = 44

Dividing this equation by 11, we have:

x - y = 4

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

If we add the two given equations, we have:

11x - 11y = 44

Dividing this equation by 11, we have:

x - y = 4

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Re: If 4x−3y=10 and 7x−8y=34 , what is the value x−y ? [#permalink]
Asked: If 4x−3y=10 and 7x−8y=34, what is the value x−y?
11x - 11y = 44
x - y = 4

IMO B
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Re: If 4x3y=10 and 7x8y=34 , what is the value xy ? [#permalink]
Top Contributor
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