question_answer

Find the values of 'x' and y, for the equations \[\frac{{{a}^{2}}}{x}-\frac{{{b}^{2}}}{y}=0;\frac{{{a}^{2}}b}{x}+\frac{{{b}^{2}}a}{y}=a+b\] where \[x,y\ne 0\].

A)  \[x={{a}^{2}},y={{b}^{2}}\]        

B)  \[x={{b}^{2}},y={{a}^{2}}\]

C)  \[x=\frac{b}{a},y=\frac{a}{b}\] 

D)         \[x=\frac{1}{b},y=\frac{1}{a}\]