Math, asked by mohammedHussain5438, 9 months ago

solve x+2y =1 and 2x+y=8​

Answers

Answered by AlluringNightingale
2

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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