11 x + 15 Y + 23 is equal to zero and 7 x + 2 Y - 20 is equals to zero solve the equation by elimination method
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Solution:
Given 11x+15y+23 = 0
=> 11x+15y = -23 ---(1)
and
7x+2y-20 = 0
=> 7x+2y = 20 ---(2)
Now ,
multiply (1) by 2 and equation (2) by 15, we get
22x + 30y = -46 ---(3)
105x + 30y = 300 ---(4)
subtract (3) from (4) , we get
=> 83x = 346
=> x = 346/83
substitute x = 346/83 in equation (2) , we get
=> 7(346/83) + 2y = 20
=> 2422/83 + 2y = 20
=> 2y = 20 - 2422/83
=> 2y = (1660 - 2422)/83
=> 2y = -762/83
=> y =-762/166
=> y = -381/83
Therefore,
x = 346/83 , y = -381/83
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ayushi08:
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