[(x)(14)/(x+y)+(3)/(x-y)=5],[(21)/(x+y)-(1)/(x-y)=2]

(14)/(x+y)+(3)/(x-y)=5,(21)/(x+y)-(2)/(x-y)=1

Solve the following simultaneous equations: 14/(x+y)+3/(x-y)=5,21/(x+y)-2/(x-y)=1

Solve the following simultaneous linear equations in two variables by the method of elimination 14/(x+y)+3/(x-y)=5 21/(x+y)-1/(x-y)=2

(4)/(x-y) + (1)/(x + y) = 3 , (2)/(x - y) - (3)/(x + y) = 5

solve each of the following pair of equations by reducing them to a pair of linear equations. 14/(x+y)+1/(x-y)=3, 21/(x+y)-2/(x-y)=1

Find the following products and verify the result for x=-1,y=-2:(3x-5y)(x+y)(2)(x^(2)y-1)(3-2x^(2)y)((1)/(3)x-(y^(2))/(5))((1)/(3)x+(y^(2))/(5))

Solve for x and y 2/(3x+2y)+3/(3x-2y)=17/5 5/(3x+2y)+1/(3x-2y)=2

Solve for x and y 2/(3x+2y)+3/(3x-2y)=17/5,5/(3x+2y)+1/(3x+2y)=6/5

A triangle has vertices A_(i) (x_(i),y_(i)) for i= 1,2,3,. If the orthocenter of triangle is (0,0) then prove that |{:(x_(2)-x_(3),,y_(2)-y_(3),,y_(1)(y_(2)-y_(3))+x_(1)(x_(2)-x_(3))),(x_(3)-x_(1) ,,y_(3)-y_(1),,y_(2)(y_(3)-y_(1))+x_(2)(x_(3)-x_(1))),( x_(1)-x_(2),,y_(1)-y_(2),,y_(3)(y_(1)-y_(2))+x_(3)(x_(1)-x_(2))):}|=0