solve x+2y =1 and 2x+y=8
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Answer:
x = 5 , y = -2
Solution:
- Given : x + 2y = 1 , 2x + y = 8
- To find : x , y = ?
Here,
The given equations are :
x + 2y = 1 -------(1)
2x + y = 8 ------(2)
Eq-(1) can be rewritten as ;
x = 1 - 2y -------(3)
Now,
Putting x = 1 - 2y in eq-(2) , we get ;
=> 2x + y = 8
=> 2(1 - 2y) + y = 8
=> 2 - 4y + y = 8
=> -4y + y = 8 - 2
=> -3y = 6
=> y = 6/-3
=> y = -2
Now ,
Putting y = -2 in eq-(3) , we get ;
=> x = 1 - 2y
=> x = 1 - 2(-2)
=> x = 1 + 4
=> x = 5
Hence,
x = 5 , y = -2
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