[" (ii) "(b)/(a)x+(a)/(b)y=a^(2)+b^(2)],[x+y=2ab]

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

(b/a)x+(a/b)y=a^2b^2; x+y=2ab

(bx ) /(a) + ( ay ) /( b) = a ^(2) + b ^(2) , x + y = 2ab

Solve the system of equations for x and y:(b^(2)x)/(a)-(a^(2)y)/(b)=ab(a+b) and b^(2)x-a^(2)y=2a^(2)b

If (x+iy)^(1/3)=a+ib,x,y,ab in R. Show that (x)/(a)+(y)/(b)=4(a^(2)-b^(2))( ii) (x)/(a)-(y)/(b)=2(a^(2)+b^(2))

Show that the tangent of an angle between the lines (x)/(a)+(y)/(b)=1 and (x)/(a)-(y)/(b)=1 and (2ab)/(a^(2)-b^(2)) .

Show that the tangent of an angle between the lines (x)/(a)+(y)/(b)=1 and (x)/(a)-(y)/(b)=1 and (2ab)/(a^(2)-b^(2)) .

Solve: (a - b )x + (a + b)y = a^(2) - 2ab - b^(2) and (a + b) (x + y) = a^(2) + b^(2)

Solve for x and y. (a-b)x+(a+b)y=a^(2)-2ab-b^(2) , (a+b)(x+y)=a^(2)+b^(2)