Reduce the system of equations into linear equations : 1/2x + 1/3y = 2 and 1/3x + 1/2y = 13/6 , taking 1/x = u, 1/y = v.
a) u/2 + v/3 =2 and u/3 + v/2 = 13/6
b) 2u + 3v = 2 and 3u + 2v = 13/6
c) both a and b
None of these
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a) u/2 + v/3 =2 and u/3 + v/2 = 13/6
Explanation:-
Given,
1/x = u and 1/y = v
Given Equation, 1/2x + 1/3y = 2
and 1/3x + 1/2y = 13/6
=> u/2 + v/3 = 2 and
u/3 + v/2 = 13/6.
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