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If x + y = 5y − 13 and x − y = 5, then x =
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10 Apr 2020, 09:27
10 Apr 2020, 09:27
Expert Reply
00:00
Question Stats:
79% (01:02) correct
20% (01:53) wrong based on 24 sessions
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Re: If x + y = 5y − 13 and x − y = 5, then x =
[#permalink]
10 Apr 2020, 13:00
10 Apr 2020, 13:00
1
given:
*x+y = 5y-13... (1)
x-y=5...(2)
*take equation 1
x+y= 5y-13
* subtracting 2y from both side, we get :
* x-y = 3y -13
* 5 = 3y -13 ( From equation 2)
* 3y = 18
* y= 6
*substituting this in equation 2 , we get:
*x-6 = 5
therefore x = 11
*x+y = 5y-13... (1)
x-y=5...(2)
*take equation 1
x+y= 5y-13
* subtracting 2y from both side, we get :
* x-y = 3y -13
* 5 = 3y -13 ( From equation 2)
* 3y = 18
* y= 6
*substituting this in equation 2 , we get:
*x-6 = 5
therefore x = 11
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Re: If x + y = 5y − 13 and x − y = 5, then x =
[#permalink]
11 Apr 2020, 09:40
11 Apr 2020, 09:40
1
Carcass wrote:
GIVEN:
x + y = 5y − 13
x − y = 5
Rearrange the terms in the top equation to get:
x - 4y = -13
x − y = 5
Take the bottom equation and multiply both sides by 4 to get:
x - 4y = -13
4x - 4y = 20
Now subtract the bottom equation from the top equation to get: -3x = -33
Divide both sides by -3 to get x = 11
Answer: 11
Cheers,
Brent
