Question 75457
{{{11/v -7/u =1}}}____________(1)
{{{9/v -4/u = 6}}}____________(2)


Multiplying both sides of eqn (1) by 4 
{{{44/v -28/u =4}}}____________(3)


Multiplying both sides of eqn (2) by 7
{{{63/v -28/u = 42}}}____________(4)


Subtracting both sides of eqn (3) from both sides of eqn (4)
{{{63/v -28/u -44/v +28/u = 42-4}}}
{{{63/v -44/v = 38}}}
{{{19/v = 38}}}
{{{v = 19/38=1/2}}}


Substituting this value of v in (1) we have
{{{11/(1/2) -7/u =1}}}
{{{22 -7/u =1}}}
{{{7/u =22-1=21}}}
{{{u =7/21=1/3}}}


Thus {{{u = 1/3}}} and {{{v = 1/2}}} is the solution.