3 4 4 2 Solve for x and y:-+-=1; -+-=- x x y 11 12

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( frac{3}{x}+frac{4}{y}=1 ) .. ( quad frac{4}{x}+frac{2}{y}=frac{11}{12} ) Multiplying (ii) by ( 2 Rightarrow frac{8}{x}+frac{4}{y}=frac{22}{12} ) Subtracting (i) and (iii) ( Rightarrow frac{5}{x}=frac{10}{12} therefore x=frac{5 times 12}{10}=6 ) Substituting ( x=6 text { in ( } i) ) ( Rightarrow frac{3}{6}+frac{4}{y}=1 Rightarrow frac{4}{y}=1-frac{1}{2}=frac{1}{2} quad therefore quad y=8 ) Hence, ( x=6 ) and ( y=8 )

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