solve. 2X+y=12and X+2y=9
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Answer :
- x = 5
- y = 2
Given :
- 2x + y = 12 and x + 2y = 9
Solution :
2x + y = 2 and x + 2y = 9
- 2x + y = 12 ... equation (1)
- x + 2y = 9 ... equation (2)
》x + 2y = 9
》x = 9 - 2y ... equation (3)
Now , putting the value of x in equation (1) from equation (3) we get
》2(9 - 2y) + y = 12
》18 - 4y + y = 12
》18 - 3y = 12
》- 3y = 12 - 18
》- 3y = - 6
》y = -6/-3
》y = 2
Now, putting the value of y = 2 in equation (1) we get,
》2x + y = 12
》2x + 2 = 12
》2x = 12 - 2
》2x = 10
》x = 10/2
》x = 5
Hence,
- x = 5
- y = 2
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