equation y-2x=1 and 5y-x=14
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The given two linear equation is consistent
So there exists a unique solution
y-2x=1 - - - - - - - - - - (1)
5y-x=14 - - - - - - - - - -(2)
From Equation (1)
y = 2x + 1
From Equation (2)
5(2x+1) - x = 14
10x + 5 - x = 14
9x = 9
x = 1
From Equation (1)
y = 2+1 = 3
So the required answer is
x = 1, y = 3
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