`(ax)/b-(by)/a=a+b`, `ax-by=2ab`

Solve the following system of equations by method of cross-multiplication: (ax)/(b)-(by)/(a)=a+b,quad ax-by=2ab

x+y=a+b,ax-by=a^(2)-b^(2)

(ax +b)^(2)

Solve for x and y:x^(2)-y^(2)=xy-ab,(x+y)(ax+by)=2ab(a+b)

Solve (by any method) : (x+ab)/a=(y+ab)/b ax+by=a^(3)+b^(3)

Solve the following equations by Elimination method : b/ax+a/by=a^2+b^2 , x+y=2ab .

Show that the lines ax+by+c=0, ax-by+c=0, ax-by=c ax+ by-c=0 (a ne b) enclose a rhombus whose area is (2c^(2))/(ab) sq unit.

(ax+b)^(2)

(ax + b)^(2)

{:(x + y = a + b),(ax - by = a^(2) - b^(2)):}