Question

if the same pair of the values x, y satisfy the three equations ax+by+c=0 bx+cy+a=0 cx+ay+b=0 then find the relation between a, b, c.​

Answer 1

Step-by-step explanation:

Solving the first two equations for x, y ; we get x = (c^2 - ab)/(b^2 - ac) and

y = (a^2 -bc)/(b^2 -ac) . Put these values of x, y in the third given equation, we get, c.(c^2 - ab)/(b^2 -ac) + a.(a^2-bc)/(b^2-ac) + b = 0 . It gives the required relation between a, b & c .Solve it further if desired.