Solve the following equations:
(i) `(x-b)/(x+b)=(a+b)/(a-b)`

Solve the following pair of equations: (x)/(a)+ (y)/(b)= a +b, (x)/(a^(2)) + (y)/(b^(2))=2, a, b ne 0

Solve the following system of equations : (2x)/(a)+(y)/(b)=2, (x)/(a)-(y)/(b)=4:

Solve the following system of equations b(x)/(a)-a(y)/(b)+a+b=0,bx-ay+2ab=0

Solve the following quadratic equation for x:x^(2)+((a)/(a+b)=(a+b)/(a))x+1=0

Solve each of the following quadratic equations: (a)/((x-b))+(b)/((x-a))=2,xneb,a

Solve the following system of equations in x and y(a-b)x+(a+b)y=a^(2)-2ab-b^(2)(a+b)(x+y)=a^(2)+b^(2)

Solve the following system of equations in x and y:(a)/(x)-(b)/(y)=0,quad (ab^(2))/(x)+(a^(2)b)/(y)=a^(2)+b^(2) where x,y!=0

solve the following equation sec^(-1).(x)/(a) - sec^(-1).(x)/(b) = sec^(-1) b - sec^(-1) a, a ge 1, b ge 1, a!= b