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so here given simultaneous linear equations are
11/v-7/u=1 and 9/v-4/u=6
so here 11/v-7/u=1 can be written as 11×1/v-7×1/u=1
similarly 9/v-4/u=6 can be represented as
9×1/v-4×1/u=6
so then
let 1/v=m
1/u=n
thus resubstituting these values
we get
11m-7n=1 (1)
9m-4n=6 (2)
so multiplying (1) by 4 and (2) by 7
we get
44m-28n=4 (3)
63m-28n=42 (4)
subtracting (3) from (4)
we get
19m=38
ie m=2
substitute value of m in any of 4 equations
we get
n=3
resubstituting values of m and n as 1/v and 1/u
we get
1/v=m
1/u=n
ie 1/v=2
1/u=3
so v=1/2 & u=1/3
hence (v,u)=(1/2,1/3) is solution of above linear equations
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